Translation:

You are dark blue like the rain clouds.
You are the Unique, the best in this world.
During the Bharatha war, you were the charioteer.
You wore the peacock feather. Oh the Pure One.
I worship you.
Born among the family of cowherds, you herded the animals by singing and dancing with joy.
You are the symbol of happiness. We bow down to your feet.
Oh the One Who is sleeping under the milk ocean, I worship you.
Your flower-like hands are holding the flute.
You are dark blue like the rain clouds. You slew Kamsa.
Let us pray to Kalinga, since he relieves us from our sins.
Oh the sorcerer! You ate the butter for your mother’s happiness.
Heaven and Earth are mesmerized by your sparkling beauty.
Oh the little one! You ate the sand.
You brought the joy to Yashoda.
You relieved Kusheilan from his sorrows.

Murali kauthuvam is about Lord Krishna and his divine flute, murali.
Krishna in Sanskrit has the literal meaning of "black" or "dark", and is used as a name to describe someone with dark skin. The Brahma Samhita describes Krishna's complexion as being "tinged with the hue of blue clouds", and he is often depicted in paintings with blue or dark-blue skin. The dark blue colour is the colour of Krishna’s light in the spiritual sense.
The blue sky in the background of many paintings portraying the Lord suggests that He pervades the entire universe. The blue color symbolizes infinity. The blue body of the Lord signifies that He has infinite attributes. He is nameless, formless, and immeasurable. Krishna is typically depicted wearing a yellow loin cloth and a crown of peacock feather. The color yellow is associated with earthly existence and the yellow clothes of the Lord signify that He incarnates Himself on this earth to uphold righteousness and destroy evil and unrighteousness.
Krishna, 'one who attracts or draws' people, or 'one who drains away' sins is the eighth and most important avatar of Vishnu, embodying joy, freedom and love. He also often appears as a god in his own right. In the Bhagavad Gita he is the divine instructor of Arjuna and the supreme Deity. In later tradition he is Krishna of Vrindavana, the cowherd, who, from being a wonderful and mischievous child, grows into a youth loved by the gopis, the cowherd girls.
His involvement with the gopis in amorous dance becomes the model of passionate union with God. Some images show him in dance mode, playing his irresistible flute to summon the gopis. He is also shown in images of power, e.g. destroying the evil snake, Kaliya, who has poisoned the life-giving waters of one of India's sacred rivers.
The kauthuvam mentions the story of Kuchela, as the example of and how one has to meditate on God, to worship him and to honour him. The Lord cares more for the feeling that accompanies the gift, the attitude with which the offering is made. He is not moved by the quantity or the cost. Kuchela took a little "beaten rice" and the Lord ate it with relish and was highly pleased at the offering so full of Bhakthi (devotion).

Translation:

Will my desire be fulfilled
to see the six-faced Muruga?
He dances on the hill with his peacock
Knowing about his fame, I want to see his handsome face.
You are the god of knowledge whoblesses your devotees.
The angels worship you
Oh God of Happiness, will I be able to see you?
This inexplicable wonderful presence of Muruga can only be experienced with one's inner eyes.

The following item is dedicated to Muruga (Scanda), whose name is derived from the word 'Murugu' which means honey, beauty, fragrance and eternal youth. Muruga is the source of all knowledge. Known as Gjnana Panditha, He enlightens the seekers and brightens up the world.
Muruga represents the virtues of love and compassion. He is benevolent and generous. He is magnanimous and merciful and grants whatever His devotees wish. The Omnipresence Muruga knows whenever His devotee is in distress, readily comes to extend His 'Abhaya Hastha', the Helping Hand and render blessings. Muruga's weapon, Vel, His transport, Mayil (peacock), and His banner, rooster, are powerful enough to protect his devotees.
Muruga is known as the epitome of beauty. He is marvelous and majestic. He is so elegant and enchanting that devotee's eyes would wish to rest there for ever.
Muruga is said to be born in the forest (vana) with six faces-eesanam, sathpurusham, vamadevam, agoram, sathyojatham and adhomugam. He is first spotted and cared for by six women representing the Pleiades - Kritika in Sanskrit. He thus gets named Kartikeya.
He is said to have left the Himalayas, the abode of Lord Siva & Parvati and settled down on a hill top in Tamilnadu in the South. Most of the Murugar temples are located on top of small hills and he is also known as the Kundra Kadavul (Lord who is seated on a hill, kundru - hill).
Lord Muruga is considered very handsome, brave, just. Even though he was seen as a playful youngster, he was also extremely knowledgeable – enough to test Lord Brahma himself. When reprimanded by Lord Siva, he justified his action by telling Siva the meaning of the OM (pranava mantram). He is therefore known as Swaminathan, one who preached even to Siva.

Translation:

Seated in Senthil, son of Shiva, come, God of gods,
Won’t your heart condescend and captivate me, oh the spear-wielding One?
It is about you that I have always been thinking about. There is nothing else in my mind except you.
Don’t you know my heart? Then why this divine play of hide-and-seek?
Is it fair on your part? Is it just?
What’s the mysterious reason that you delay your arrival?
What’s the use of my eyes if you don’t bless me?
I don’t know where else to go to seek you.
I think about you every second,
Oh moon-faced Muruga, make this young girl happy!
With your compassionate smile, shower your grace, come.
Oh Vishnu’s son-in-law, bless us.
Beautiful Muruga, do arrive seated on the dancing peacock.
I want to see your beautiful figure.
Didn’t you listen to my gibberish? Would you not have the heart to come? You don’t wish to come, do you? Can you hear me?
My heart, filled with love, refuses to take food,
and makes me spend only sleepless nights. My eyes are sore, my body is sick.
I am eager to see you. I have been searching for you everywhere
so that my heart’s sorrows would vanish.

The main character in this varnam is Muruga,who is the son of Lord Siva. muruga is the younger brother of Lord Ganesa and the nephew of Lord Narayana. He is the very manifestation of handsomeness, robust youthfulness, masculinity, fragrance and unmatched valour and the abode of happiness, the God who blesses and protects those who ardently seek His grace.
The three integral elements of Muruga's personality are spear (vel) in His hand, peacock as His mount and cock adorning His banner. Vel signifies jсanasakti (power of wisdom); this was given to Muruga by His Divine Mother. Parvati wishing Him victory over asuras (titans) led by the tyrannous Surapadma. The glittering spear of Muruga is venerated by devotees as Sakti Vel or Veera Vel signifying its extraordinary power and strength. Cock and peacock represent nada and bindu. The peacock displays the divine shape of Omkara when it spreads its magnificent plumes into a full-blown circular form, while the cock proclaims loudly the Pranava sound OM. Muruga shines as the very essence of the Vedas and mantras.
The demon surapadma attacked the sages and disrupted their sacred ritual,the sages ran to kailasa to seek help. Parvati sent muruga and wished him victory over asuras (titans) led by the demon Surapadma. The young Muruga conquered the Surapadman, who became prey to His powerful spear after the fight. When Muruga finally found the demon's dwelling place in a tree, he split the tree with his lance and the demon, rather than being killed, was turned into a Cock who adorned Murugan’s banner, and a radiantly lovely peacock who became the vehicle of Muruga. The ever-compassionate Lord converted the two portions of His slain enemy into an integral part of Himself. Muruga acted as Supreme Commander (Deva Senapati) and freed the gods from their captivity.
The varnam depicts the story of the wisdom fruit. Naradha, a great saint in the land of the Devas, offered a divine fruit to Shiva and informed the three eyed Neelakanteshwar, that it was the fruit of Wisdom. Each of Siva’s sons, Lord Ganesha and Lord Murugan, wanted the entire fruit exclusively for himself, as the fruit was to be eaten wholly and not partly. In order to decide the rightful recipient for the fruit, it was decided that the one who first completes circumventing the Earth will win the fruit. Lord Murugan accepted the challenge and in a flash mounted on his Mayil vahanam or the peacock as his vehicle and departed to go round the Earth. Elder brother of Murugan, not taking the literal meaning of world, offered to come round his divine parents Shiva and Parvathi, as the whole universe was considered to be embodied in them.
He went round them thrice and won the challenge and got the divine fruit or fruit of Wisdom. On knowing the reason how his brother Lord Ganesh got the  fruit, Lord Murugan was in temper and disowning everything around, he went to  Palani. Moved by this, Lord Shiva and Sakthi went to Palani to convince their younger son that he needs no fruits as he himself was a fruit of wisdom ( Palam Ni ); since then the place were Lord Murugan stood is known as Palam Ni or Palani. But the divine child little relented and preferred to settle as a recluse in peace and solitude. Lord Muruga holding a staff in his right hand with his left hand placed on the hip is fittingly adored as `Dhandayudhapani.'

Translation:

Oh lovely-eyed Krishna, you danced the delightful, wondrous dance in Vrindavan filled with feelings and sentiments.
You danced with the girl cowherds of unequalled beauty, who had searched for, and come seeking only you, on the banks of the Yamuna in the moonlight.
With the peacock feather in the knot of hair atop your head swaying slightly,
Your crown encrusted with 9 gems shining brightly,
your makara-shaped ear-rings swaying to and fro,
a mischievous smile flitting across your lovely moon-like face,
the fragrant flower garlands on your chest moving,
mesmerizing clothes moving around your waist,
with sweet music issuing from your enchanting flute,
with the women’s eyes revealing their infatuation,
with fragrant flowers around, and all the anklets keeping the rhythm, you realized the wishes of the girl-cowherds and showered them with your grace,
you unite with them as one,and dance with them on the banks of the Yamuna.

Aadinaye kanna is a padam by Ambujam Krishna. An extremely pious individual and an ardent lover of the arts, she composed in Sanskrit, Tamil, Telugu and MaNipravaaLam (two or more different languages in the same song). Her 600 songs are noted for their imagination, chaste language, clarity of thought and inspired spontaneity.
The padam portrays the Krishna who captivates everyone with his enchanting flute music, which is a symbol of the sweet divine call that beckons us, persuading us to abandon our illusions, our sufferings, our egos.
According to tradition, Krishna was raised in the cow herding village of Gokul by his foster parents Nanda Maharaj and Yasoda. The Bhagavata Purana describes Krishna's early childhood pastimes in Vrindavan forest wherein he, his brother Balarama, and his cowherd friends stole butter, engaged in childhood pranks and fought with demons. Sri Krishna wears a peacock feather that reminds us of his play with the gopas and gopis of Sri Vrindavana. The gopis' love for Krishna signifies the eternal bond between the individual soul and God. The dance of the gopis and Krishna (Rasa Lila) signifies the union of the human and Divine, the dance of the souls. In the forest, the gopis dance with Krishna and are absorbed in their love for him. This illustrates that when an individual soul responds to the call of the Divine, the soul enjoys union with the Lord and becomes absorbed in the divine ecstasy. Radha symbolizes the individual soul that is awakened to the love of God and is absorbed in such love.
Sri Krishna wears a peacock feather. The male peacock especially has long been a symbol of romantic love, and the rasalila episode of Sri Krishna's life teaches us how this kind of love may be directed to God.
krishna dances in the lanes of vrindavan adorned in silk robes and a crown of peacock feathers, he dances with radha and her friends to the rythm of drums. the whole universe reverbrates with ecstacy of the ras lilas of krishna and the gopis.
A flower garland around the Lord's neck is a symbol of the devotee's adoration for the Lord. A gem decorating His neck signifies that the Lord fulfills all genuine desires of His devotees and provides for their needs. The crown is a symbol of the Lord's supreme power and authority. The two earrings signify the dual nature of creation, such as knowledge and ignorance, happiness and unhappiness, and pleasure and pain. 

Translation:

Let the Shakti of Siva prosper forever!
Let Siva's Shakti inspire you to dance, and sing, and jump with joy!
Dance for Shiva's Shakti!
Lets play for shiva's Shakti, lets dance to the rhythm
Lets sing about Shiva's Shakti!
You are our mother. You are in our hearts.
We live with your ever-present grace.
When you enter our being, you drive away all the falsehood,
You are the flame in the dark cave of our mind.
You protect us as your own children.
Your courage comes to me and drives away the fatigue of the soul.

The song to come This Bharatiyar’s composition is about the Lokamatha Parashakthi, the Transcendent Power. Shakthi means force, power or energy is the Hindu concept or personification of God's female aspect, sometimes referred to as 'The Divine Mother'. Shakti represents the active, dynamic principles of feminine power. Shakti is worshiped as the Supreme Being.
Parvati or Durga or Shakti, the consort of Shiva, is perhaps the most important goddess of Hindus. She is a multi-dimensional goddess. She has so many names, so many personalities and so many facets.
Shakti is not an external power but one's own power. To worship the Shakti is to take back one's own power, which is to recognize the power of one's own consciousness , the womb in which the energy of enlightenment is born.
Shakti is the descent of Divine Grace, which is the power of peace, and has the power and potency to create new life. She has the energy of beauty, delight and creativity. This transformative power of the Divine Mother is the Shakti that works behind all changes in the universe, and brings the human beings to the greatest transformation, which is enlightenment. Our purpose is to energize that Shakti dormant within us. By unfolding all the different levels of rhythms of her movement, as she naturally seeks her native abode in the supreme.