Here's a verse I first heard from Ian Grant at EUFSS in c1966:

"You canny throw your granny off a yellow submarine"

Then we used to sing this a few years ago:

"Oh my Granny wears an awfy woolly vest (2x)
Oh my Granny wears a vest,
It's as hairy as her chest!
Oh my Granny wears an awfy woolly vest."

I'm not sure where it came from, but one of the meanings of grannie is a "chimney-cowl", the source of much confusion to Paw Broon in several stories, where he got it into his head that auld Mrs ..... wis stuck on the roof! (The Broons, still going strong in the 'Sunday Post')