I found what seems to be a full set here:

http://londonbobby.com/lblyric.htm

Up the apples and pears and across the Rory o'Moore
Up to see me dear old trouble and strife.
On the Cain and Abel you will always see
A pair of Jack the Rippers and a cup of Rosie Lee.
What could be better than this, a bit of a cuddle and kiss
Out beneath the pale moonlight.
When little Tommy Tucker goes up to Uncle Ned
Blows out the 'Arry Randle and a jolly good night instead.

All me life I wanted to be a barrer boy,
A barrer boy I've always wanted to be.
I wheels me barrer, I pushes it with pride,
I'm a coster, a coster, from over the other side.
I turns me back on all the old society
I'm going where the ripe bananas grow.
I sells 'em a dozen a shilling, that's 'ow I makes me living,
I ought to 'ave been a barrer boy years ago.
(Get off me barrer!)
I ought to 'ave been a barrer boy years ago.

Best of luck, Tommy!