I don't even know where i got this one from:

Mary-Anna at the pawn shop door
With a baby in her arms and the basket on the floor
She asked for 7/6d but they only gave her 4
So she knocked the bleeding knocker off the pawn shop door

I'll tell Ma of Mary-Ann
Walking down the street with a nice young man
High heeled shoes and a feather in her cap
That's the way to get the sack

Policeman policeman don't catch me
I've got a wife and a family
How many children have you got
99 and that's the lot

This variation was sung by Alan Breeze (ye gods, how old am i?) on the Billy Cotton Band Show - Sunday lunchtimes.

Lulu had a baby - she called him Sonny Jim
She put him in the bathtub to teach him how to swim
He swam down to the bottom and then up to the top
Lulu got excited and grabbed him by his ...
Haircut, shampoo, ring the barbers bell
And if he doesn't like it
Just tell him, what the!
hey there! say there!
How's about a kiss?
Hey there! say there!
That's the end of this.