I think it might help if you gave us the other bits you remember.Does it happen to have a refrain that goes:
Oh my darling .....
Wait until your mommy comes
Wouldn't you like to suck your thumb
Was ever a man so bored
But the more I cootchy-cootchied so
And walked him up down, to and fro
And I give him everything you know
But the more the darling roared!