I don't know where this parody came from, but here's another one (also of unknown origin -to me at least - except for the first four lines of the second verse, which my imaginary playmate, Sonja, wrote, because I couldn't remember the ones I had heard):

In the shade of the old apple tree,
Where my mother came looking for me,
With a handful of switches,
She took down my britches
And, oh, how she gave it to me!

Well, I don't quite remember my sin,
But I'm sure that I did it again -
The outcome of which is
Mama cut lots of switches
In the shade of that old apple tree.


Genie