To MtheGM:
My cousin was born 1928, I am a few years his junior, Bethnal Green and Bow. Seems like you and I haunted the Princess Louise around the same time, on my first visit it was a skiffle club after that the Ballads & Blues Association. Sandy & Caroline Paton were there then.
There does seem to be some confusion here about which tune is being discussed.
Another verse to the same tune The Girl I Left Behind Me of course is:

She went out behind the barn
I went round behind her
She bent down to tie her shoe
And I saw her sausage grinder

Oh that girl that pretty little Girl
The girl I left behind me
etc etc

That certainly isn't a London verse.

Hoot