Surely both tunes are derivatives of the Irish tune Tuirne Maire (Mary's Spinning Wheel): the first version of the tune in a book dating from 1923 of songs sung by Eileen Costello of Connaught, and I think sung on Claddagh LP Once I Loved. Thanks to Fred McCormick for this information, kindly passed on to me when I was researching The Recruited Collier.