From the "Old Fireside Music*, Mike & Mary Rafferty, transposed to abc by Lesl Harker.
Lesl has published 300 of Mike Rafferty’s tunes in a book, see http://www.firescribble.net/rafferty/index.html
I’m sure this is a version of "Jessie over the Bridge" or "Over the Bridge to Bessie": https://thesession.org/tunes/3968/comments
Tom "Barrel" Rafferty was Mike Rafferty’s father, who played the flute and pipes.
Jessie’s 2nd part and the second part here have some similarities, but I think this are still two reels!
Celtic Winds tune
abcnotation.com has this version:
T: Barrel Rafferty’s
T: Master McDermott
T: McDermott’s Reel
T: Josie McDermott’s
D: Kevin Griffin "Down in Doolin"
A | D2 ED FAAB | d2 fe dB B2 | AF ~F2 DF A2 |\
BFAF EAFE |
D2 ED FAAB | d2 fe dB B2 | AF ~F2 D2 AF |\
EGFE D3 :|
A | df~f2 dfaf | g2bf affe | dBBA Bcde |\
fdgf e2 de |
faaf g2bf | affe dB B2 | AF~F2 D2 AF | EGFE D3 :|
Sounds much more like what I heard on Celtic Winds.