Well, as soon as I posted that, the album came out from hiding. Susanna Martin (that's how it's spelled) IS on the album, recorded in 1962. Witches and War-Whoops contains songs collected and sung by John Allison. It's on Folkways FH5211 A.

I'll have a listen later and see if they lyrics are similar/the same as the one in the DT and above.