My partner and I used to sing "The Hand-Loom Weaver's Lament" to a different tune from Harry's - a minor mode one. I seem to recall this tune was on the Critics Group's Waterloo/Peterloo recording, but since I don't have it I can't check. :-(

That's also the version Ian Robb recorded with Hang The Piper on their old Folk Legacy LP.

It also seems to me (old memory again, so I might be wrong) that the Critics sang "With Henry Hunt We'll Go" to the tune that Karl Dallas prints with "The Hand-Loom Weaver's Lament." That tune, btw, is not the one that Harry Boardman uses on his recording of the latter song.