please empty your brain below
ahh what an excellent subject, I remember singing that when I was at primary school (in Newcastle ) although I was always puzzled by the last two lines, which don't really scan.
There's longer versions of this *google google google* and one of them is at http://ingeb.org/songs/gaygoupa.html
I'm kind of sad that we used to sing the shorter version at my school. sigh.
Great idea, this. Any other London (nursery) rhymes for a follow-on?
London's burning and London Bridge is falling down spring to mind, but I doubt that either of those rhymes would last a week.
There's also Pop goes the weasel:
Up and down the City Road
In and out the Eagle
...is a reference to the Eagle pub on City Road in Islington.