Here is a lullaby song composed by Shri Purandaradasaru, melodically sung by M L V.
Song narrates about the good characters and some miracles of Shri Krishna.

Lyric follows:

rAga: nIlAMbari
tALa: mishraChApu
rachane: shrI puraMdaradAsaru

tUgidaLe raMgana yashOde sAgaradali shayanana /pa/

nAgatalpada mEle shrIkRuShNa malagire
yOganidreya koMba jOguLa pADuta /anupa/

sAmagAyana priya jO jO sakala muni sOma vaMditane jO jO
bhIShmaka nArada dEvagaMdharvaru dasharatha naMdana rAma jO jO /1/

shakaTAri kRuShNane jO jO praLayadalli vaTapatra shAyi jO jO
sphaTika lAMChane satyabhAmeyu stutisalu nijaguru puraMdaraviThala jO jO /2/

Meaning of the song:

YASHODA (yashOde) swinging the cradle (tUgidaLe) of RANGA (raMgana)
who can also sleep (shayanana) on the ocean (sAgaradali)

SHRIKRISHNA (shrIkRuShNa) is sleeping (malagire) on the cot of serpent (nAgatalpada mEle)
in HIS contemplation-sleep (yOganidreya koMba)
while YASHODA singing (pADuta) the lullaby (jOguLa)

Lover (priya) of hymns of Samaveda (sAmagAyana) Jo Jo
Saluted (vaMditane) by all (sakala) sages (muni), moon (sOma) Jo Jo
Aslo saluted by elederly persons (bhIShmaka), sage Narada (nArada),
troop of dieties (dEvagaMdharvaru)
RAMA (rAma) - Son of DASHARATHA (dasharatha naMdana) Jo Jo

KRISHNA (kRuShNane) killer of demon Shakata (shakaTAri) Jo Jo
Sleeper on a leaf of Banyan (vaTapatra shAyi) tree during deluge (praLayadalli) Jo Jo
Praising (stutisalu) SATHYABHAMA (satyabhAma) with the emblem (lAMChane) of crystal (sphaTika)
truthful perceptor (nijaguru) PURANDARA VITHALA Jo Jo

More details about Vatapatra Shayi: http://www.harekrsna.de/krishna-banyan-leaf.htm

Audio by M L Vasantha Kumari:
Spoiler: 

Audio by Sandhyavandanam Sreenivasa Rao:
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