I know the verse you already know ... I have also heard it sung as part of a Scottish song called

Coulter's Candy

Ally bally, ally bally bee,
Sittin' on yer mammy's knee
Greetin for another bawbee
To buy some Coulter's Candy.

I had a little nutmeg
etc

Here's auld Couter comin' round
Wi a basket on his crown
So here's a penny, now ye run down
And buy me some Coulter's candy.

Ally bally, ally ballybee
When you grow up ye'll gang tto sea
Makin pennies for your daddie and me
To buy some Coulter's candy

It's a sweet song - quite a simple tune but I don't know how to pass it on to you over the net. sorry - I'm sure someone else will help out.

Cheers,

Teasle