I don't know where this came from. It just possibly could be my mother's mother. She was on the music hall with her future husband doing a Pierrot and Columbine act in thearly 1900s and knew Bud Flanagan!
The one that definitely did come from her was:

You know my Auntie Nelly
She’s got a wooden belly
And every time you knock her down
You have to pay a penny!

The version I know slotted into nurserry rhyme books for several grandchildren goes:

A Pennyworth of Winkles

Last Sunday afternoon for tea
Thought I’d have a luxury.
I went down to old Ma Tinkle’s,
Bought myself a pennyworth of winkles,
Took them home,
Put them on a plate,
Happy as could be...
When my old woman and her seven kids
And all the family
Started picking all the big ones out,
PICKING ALL THE BIG ONES OUT!

You should see my face with wrinkles,
When I saw my pennyworth of winkles -
All the big ones gone!
Did I rave and shout...
My old woman and her seven kids
Picking all the big ones out!

{To be recited with appropriate actions!!