two replies:

I have a song on tape by Shep Woolley which includes the line about the Black Cat Piddled in the White Cat's Eye. My grand-daughter thinks it hilarious.

With regard to the Harry Lauder parody of "I Love A Lassie", when I was a small girl in the early 50s I used to be looked after by a lovely Cockney lady who often played her piano for me and taught me a lot of Cockney songs of the pub sing-song type, including this parody

I love a sausage,
A bonnie, bonnie sausage
And I put it in the oven for my tea
I went down the cellar
To fetch my old umbrella
And the sausage ran after me!