Susan-Marie, Thanks, I couldn't find it in DT.

The song there looks like it might be the original. There were others in the 19th century, sometimes to other tunes.

The last are obviously insrumental versions. I can't cope with all of Bunting's ornamentation of X5 below in ABC, so that part is ommitted here. The 2nd strain, which seems to be simply a variation of the first, is also omitted.

X:1
T:GRANUWAIL
N:Hime's 'New Selection.. Irish Airs', c 1800
N:probably pirated from Cook's selection, c 1793-5.
Q:90
L:1/8
M:6/8
K:G dorian
(B/2c/2)|d>ed cAd|G>AG G2 A/2B/2|cAB cAG|\
F>GF F2(d/2e/2)|fed cAc|de^fg2(a/2g/2)|\
fed cAd|G>AG G2 (d/2e/2)|fed cAc|de^fg2(a/2g/2)|\
fed cAd|G>AGG2:|]

X:2
T:GRANA UILE
N:One Hundred Irish Airs, 2nd Series. P. M. Haverty Co.
N:New York, n.d. (copyright 1859)
Q:90
L:1/8
M:6/8
K:Gm
B/2c/2|d>ed cA d|G>GG G2(A/2B/2)|c>Af (cAG)|\
F>FF F2d|gag fdc|dgg g2(b/2g/2)|(fd)d (cA)A|\
G2GG2|]

X:3
T:GRAINNE MHAOL
N:Dublin Monthly Magazine, May, 1842
N:Via Zimmermann's 'Songs of Irish Rebellion', 1967
Q:90
L:1/8
M:6/8
K:Gm
B/2c/2|d3/2 e/2 d/2 d/2 c A d|G2GG2A/2B/2|\
c3/2A/2 fc AG|F2FF2d|g a g f d c|d g g g g a/2 g/2|\
gd d c A2|G2GG2G|d3/2e/2 d c A d|G2GG2A/2B/2||
c3/2 A/2 f c A A/2 G/2|F2FF2d|g3/2 a/2 g f/2d3/2 c|\
d g g g2 b/2g/2|fd d c A A|G2GG2|]

X:4
T:GRANUWEAL
N:Henry Beck flute MS, 1786
L:1/8
M:3/8
K:G dorian
B/2c/2|def|d/2c/2B/2A/2G/2^F/2|G2G|G2A/2B/2|cAf|cAG|G2G|F2e|\
fff|ggg|af/2g/2a/2f/2|g2a|fef|d/2c/2B/2A/2G/2^F/2|G2G|G2::\
((3 d/2e/2f/2)|^GdB|gab|G2G|A2((3c/2d/2e/2)|fcA|fga|F2F|F2e|\
fff|ggg|af/2g/2a/2f/2|g2a|fef|d/2c/2B/2A/2G/2^F/2|G2G|G2|]

X:5
T:Granu Weal
N:from Bunting's 3rd collection, 1840
N:almost same is O'Neill' Music of Ireland, #546
Q:90
M:6/8
K:Gm
.A|(.d.=e.f) (d/2c/2)(B/2A/2)(G/2^F/2|(.G2.G.G2) (A3/4B/4)|\
(.c.A.f) (d/2c/2)(B/2A/2)(G/2E/2)|(.F2.F.F2)(d/2=e/2)|
(.f.=e.f) (d/2c/2)(B/2A/2)(G/2^F/2)|(Gg) (.g .g) (g/2b/2)(a/2g/2))|{fg}(.f.=e.f) (d/2c/2)(B/2A/2)(G/2^F/2)|\
(.G.G.G) .G2:|]

^^