Family members noted by Bronson in 'The Traditional Tunes of the Child Ballads' at #56 are:

The Miller of the Dee, Gilderoy, The Three Ravens, Come all you worthy Christian men, Jack Pudding [Dancing Master], The [Nobleman and the] Thresher, Cold Blows the Wind [Child #78], We are poor frozen out Gardiners, By chance it was [Baring-Gould et al, Songs of the West], The Marigold [same], The Lowland of Holland [Sharp, 100], Erin's lovely Home [same], The ship in Distress [same], King Herod and the Cock [Child 55].

Add a number of carols, like:

The Twelve Apostles, The Moon shines Bright, God made a trance, The Seven Virgins and others from Southeastern U.S.