I grew up in London's east end and learned the words from other kids. My cousin who was ten years older also sang a few extra words of which I only got a few;

Oh the black cat pissed in the white cat's eye
The white cat sad gor blimey
I'm sorry old chap said the black cat
You shouldn't stand there behind me

And as he spoke his arsehole broke and fell into the water

.....and regrettably that is all I can add.

The Highwoods String Band instrumental reffered to above is actually called "Grey Cat on the Tennessee Farm" musically no relation to the tune under discussion.

Hoot