Doug,
Check out this link
https://www.mainlynorfolk.info/nic.jones/songs/boysofbedlam.html
which provides loads of information on the various recordings of this song.
Specific reference is made to the tune you mention, thus: "It was in the repertoire of The Halliard at the end of the 1960’s with a tune that was “mostly the work of the Halliard’s Dave Moran with some small input from Nic Jones” (according to Julia Jones). However, they didn’t record it until later (2005 release) for their songbook and CD Broadside Songs."