In case the link fails, here is the traditional tune that I think is one of Billy Bragg's sources for the melody to "Way over yonder in the minor key:"

X: 1
T: The Two Sisters
C: Cecil Sharp and Olive Dame Campbell, English Folk Songs from the Southern Appalachians, New York, 1917, p. 16. Collected from Jane Gentry, September 11 1916.
M: 64/4
K: GF
L: 1/4
F>D | C/ C/ D F/ F/ F | F f d2 | d>c A/ G/ F | D C F2 |
C/ C/ D/ D/ F>F | F f d>d | d/ d/ c A G/ F/ | D C F2 ||