I'm afraid you will have to. As Masato said earlier, Bronson found no traditional tune for this one, and none seems to have emerged since. In fact, the song itself has been found once only in tradition (Child's text was from a printed source), and that was as a two-verse fragment without tune, sent to the collector Helen Hartness Flanders by George J. Edwards of Burlington, Vermont, in 1934. He said that it had been in his family (which originated in Northumbria) "for many generations". (Ballads Migrant in New England, Flanders and Olney, 1953).