Here's a quick transcript of the Harry Boardman tune. As stated by rich-joy in the posts linked above, it is closely related to Buffalo Gals (and on the Harry Boardman recording the song is ended by playing Buffalo Gals).

As the sleeve notes (posted by Ross above) make clear, Harry got the song from Roy Palmer, so it is essentially the same as posted by rich-joy - a few minor textual differences in the singing (like starting some lines with Well. It also sounds like he's replaced 'hint with in in verse 5, but that might be my mishearing).

Mick

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X:1
T:The Beltane Song
S:Harry Boardman: LP A Lancashire Mon
L:1/16
Q:1/4=72
M:2/4
K:D
A,2|D2DD D2FA|B2AA AA
w:I danced wi' a girl wi' a hole in her stock-in'
FF|A2GG GGEE|B2AA AA2
w:An' her heel kep' a-rock-in', An' her heel kep' a-rock-in'
A|D2DD (DE)FA|B2AA AA
w:I danced wi' a girl_ wi' a hole in her stock-in'
d2|A2FD E2FE|D4 D2||
w:A' night by the light o' the moon, O.