Three comments
My Sweetheart Jane
A simple melodic reel from " O’ Neill’s Music of Ireland ", A great book with 1850 airs, jigs, reels, hornpipes, long dances, marches and a good selection of O’ Carolan’s compositions. Well worth getting hold of a copy.
The Pretty Girls of Mayo
I reckon this tune could be related to The Pretty Girls of Mayo.
https://thesession.org/tunes/1954
My version from McGoldrick
X: 1546
T: My Sweetheart Jane
R: reel
N: "collected from J. O’Neill"
B: "O’Neill’s Dance Music of Ireland, 1546"
T: mo suiri.dea.c sineid.
Z:
M: C|
L: 1/8
K: G
|:D~G3 ~A2 dc|AB (3cBA dBcA|D~G3 ~A2 de|1 fdcA AGAF:|2 fdcA AGBc||
fggf ~g2 ag|fdde fgaf|dggf ~g2 ag|fdcA dBcA|
dggf ~g2 ag|fdde fg ~a2|agag fdeg|fdcA AG GF||