See the extended review of this group of songs in the post by Malcolm Douglas, thread 18360, 09 Jul 00, 8:52 pm. The many links give a good picture of the relationships. There are many floating verses.
The Butcher Boy first appeared in print in an American broadside, ca. 1860, and seems to be an American relation of this large group of songs.

Thread 18360 (Penguin I Wish, I Wish): Penguin

Also see the revision of The Penguin Book of English Folk Songs by Malcolm, "Classic English Folk Songs," 2003, pub. English Folk Dance & Song Society, notes pp. 93-94.