(ed: this has a lot in common with another version called 'lulu had a baby)

Version 1:

Lucy had a baby
She called it Sonny Jim
She took it to the swimming baths to see if it could swim
It swam to the bottom
It swam to the top
Lucy got excited
And pulled it by it's
Cocktail shandy
Four pence a glass
If you don't like it
Shove it up your
Ask no questions tell no lies
Ever seen a copper doing up his
Flies are awful
Bees are worse
This is the end of my very silly verse.

Version 2:

Miss Lucy had a baby
She named it Tiny Tim
She put it in the bathtub
To see if it could swim
It drank up all the water
It ate up all the soap
It tried to eat the bathtub
But it wouldn't go down its throat
Miss Lucy called the doctor
Miss Lucy called the nurse
Miss Lucy called the lady
With the allligator purse
Measles said the doctor
Mumps said the nurse
Nothing said the lady
With the alligator purse
Miss Lucy kicked the doctor
Miss Lucy punched the nurse
Miss Lucy paid the lady
With the alligator purse