There is a version of "box on her head" which starts "Tis of a fair yung damsel who in London did dwell" but this is probably one of those cases where it is changed to suit the printer's location.

Geordy (or Georgy) "As I rode over London Bridge, one misty morning early"

There is a London version of the Beggar
"Of all the trades in London, a beggar is the best" which includes a reference to Pimlico

"9 times a night" can be found on a Nic Jones CD. A version starts "A buxom young fellow from London came down". Has a good joke at the end