I know this is a very old post and I do not know if you ever got the lyrics but this is a song sang to me by my great grandmother and grandmother. I have sang this song to my own children and grand children so here are the lyrics:

OH LITTLE PLAYMATE

Oh little playmate come out and play with me
And bring your dollies three, climb up my apple tree,
Slide down my rain barrel; look down my cellar door,
And we will be jolly friends for ever more.

Oh little playmate, I can't come out and play,
My dollies have the flu, oh dear what shall I do?
Ain't got no rain barrel, ain't got no cellar door,
But we can be jolly friends forever more!

Oh little playmate I came to play with you,
I broke your dollies three, chopped down your apple tree,
Kicked over your rain barrel, knocked down your cellar door
And I was sent home forever more!

Oh little playmate can I please come over and play?
I'll fix your dollies three, plant a new apple tree,
I'll pick up your rain barrel and nail up your cellar door,
Then we can be jolly friends forever more!

Oh little playmate come over and play with me,
We'll fix the dollies three, and plant the new apple tree,
We'll pick up the rain barrel and nail up my cellar door,
Then we will be jolly friends forever more!!