I first heard this tune played as a single jig on Breda Keville’s solo recording, and then re-discovered it as a fling on one of old mini disc recordings of radio programme "Culan." It is the piper Jimmy O’Brien-Moran who plays this piece after "Garrai Na Saileog," which is more commonly known as "Miss Galvin’s": https://thesession.org/tunes/624
And I recently got Harry Bradley and Michael Clarkson’s flute duet album, where this tune is played as a single jig again. I’m still not sure whether it is a fling or a single jig, but personally prefer it as a fling.
Anyway, as the last tune of the set you could add this phrase at the end of the second part: d>Bc>A B>G (3EDE|Gz G6||
That’s how Breda Keville and Jimmy O’Brien-Moran do, and most likely how Willie Clancy did on his recording.
This isn’t the only case of a fling being called a single jig on a recording, or a barndance being transcribed that way as well, because of the swing in them… However, the classic melodic structures for a fling and a single jig are not the same…
There’s another such tune on a recording listed ‘wrongly’ as a single jig that I’ve been meaning to pull out and add here. I’ll see if I can find it again and give that some time… 😏