Guest, Norfolk Dumpling: you say
Its origin could be almost any new world country.... etc.

Indeed it could, but songs normally leave a trace when they have travelled as you are suggesting, with people still singing them, or a version of them, in those places.
In this case there is no such trail. As the learned Malcolm Douglas stated above:

There's no trace of this song anywhere prior to Peter Bellamy, and all recordings of it are by revival performers, all of those deriving ultimately from Peter.

Unless you know differently?