My grandfather used to sing a version of this, similar to the one in the database, but not quite. Again, to Turkey in the Straw:

"I kicked old Nelly in the belly in the barn (x3)... But the farmer said it would do 'er no harm."

I always assumed that Nelly was the cow in this rendition.

I'll bet there are as many versions out there as there are old folks to remember them!!