I probably have been taken in by a fakelore website while trying to find the early history of "Pop Goes the Weasel," see thread 19247: Pop Goes the Weasel

The tunes I list are cited in this website: Quinion on POP GOES
The same writer (same link) says "the tune was published in Gow's Repository..."

So far, the earliest definite date for "Pop Goes the Weasel" is 1850, in American sheet music, but there are undated broadsides in the Bodleian that could be a little earlier.