I can think of 2 versions of the song in your link, but with a slightly different title.
It was recorded on an LP record - first track - by Cathal McConnell and Robin Morton on "An Irish Jubilee" as "Nil Se ‘na La". [ Late 60s / early 70s ? ] I can't recall if it was sung or just played as an instrumental. I would need to hunt through some cassette tapes, and that could take a while.
It was also recorded more recently by Brendan Begley, possibly, coincidentally, on a "Boys Of The Lough" recording, but maybe on one of his solo CDs.
There would most likely be information about the song on the sleeve notes, but I can't help more beyond that at the moment.