Interesting you have it as a Bampton (Oxon) affair Kath. The words fit to a Derbyshire Morris tune, which rather than Bampton has Brampton in it. As Brampton is in Cambridgeshire, I can only assume bicycles were available in my Derbyshire from an early date.

You don't know and I don't know
What fun we had in Brampton
A roasted pig and a cuddled duck
And a pudding in a lantern.

There again, as aficionados of Terry Wogan will tell you, it fits to Cornwall's Floral Dance for that matter.

Confusing thing this geography lark. As you won't accept Kilburn North London as an Irish county....