(The Oxford Dictionary of Nursery Rhymes, 1951; pp. 312-3) quote a single verse from James Orchard Halliwell's The Nursery Rhymes of England (1842):
As I was walking o'er little Moorfields,
I saw St. Paul's a-running on wheels,
With a fee, fo, fum.
Then for further frolics I'll go to France,
Where Jack shall sing and his wife shall dance,
With a fee, fo fum.
This seems to come from the ballad of Tom Tell-Truth [c. 1676]
I see St. Paul's steeple run upon wheels, fal la la
I see St. Paul's steeple run upon wheels and in the middle of all Moor-fields,
With a fa la, fa la la la, fa la la la la la la.
The precise locality of these strange happenings is here lost, but it is probable that it was Moorfields as in the broadside edition and the nursery rhyme. This would be an appropriate setting for a nonsense song, for in 1675 the old Bethlem Hospital was moved to Moorfields from Bishops Gate Without.
