My Grandfather (born around the 1920's in Oaklahoma) sings a song similar to this. His goes something like...

Way down yonder and not far off,
A jay bird died of the whoopin cough.
Sing song kitty cancha kime-e-o.
Me-he my ho pretty petimingo

A way down yonder in the holler
Not to far if you want to foller
Theres a possum sittin in a simmon tree
And a raccoon sittin on the ground
Raccoon said you son of a gun
Shake them simmons down.

I have no idea where he learned this song, but its one that he's sung to us grandkids and now the the great-grandkids for years. I've always loved it...interesting to read all of this info!