The tune to "Billy Peddle" is "Soldier's Joy." Here's another version (from The Fiddler's Companion: Soldier's Joy):

In Newfoundland, it is sometimes known as "John White" and sung accompanied by the fiddle or accordion:
***
Did you see, did you see, did you see John White?
Did you see, did you see, did you see John White?
Did you see, did you see, did you see John White?
He's gone around the harbour for to stay all night.
He's gone around the harbour for to get a dozen beer.
He's gone around the harbour and he won't be coming here.
He's gone around the harbour for to get a cup of tea.
If you sees him will you tell him that I wants he?

~Masato