Sorry for posting twice, but there's another sound recording of a Gaelic Lord Randal, "Martin 'Junior' Crehan - Cá raibh tú ar Maidin" accessible here:
http://www.clarelibrary.ie/eolas/coclare/music/live/annagh_CM-WC5.htm

It starts at 07:50 in the recording.

I'm also fairly certain that the New York singer Sara Cleveland's version has been brought over from Ireland.
Her version is titled "My Bonny Bon Boy".

Bon = Brown? I'm not sure. Anyways, it's a wonderful version from a great singer.

There's also a couple of irish versions that were recorded from Travellers by the Song Collector's Collective:
https://soundcloud.com/song-collectors/lord-randal-kathleen-ward-kilconnell
Kathleen Ward's version is hoplessly confused with "Son Come Tell Unto Me", Child 13, not surprising given the similar structure of the two songs.

https://soundcloud.com/song-collectors/lord-randall-kathleen-ward
https://soundcloud.com/song-collectors/what-had-you-for-your-dinner
https://soundcloud.com/song-collectors/maggie-mongins-2016-05-04
https://soundcloud.com/song-collectors/kathleen-explaining-the-lord
https://soundcloud.com/song-collectors/edward-mcdonagh-2016-05-04-1
https://soundcloud.com/song-collectors/willie-heaney-2016-07-18-3
https://soundcloud.com/song-collectors/lord-randall-edward-mcdonagh
https://soundcloud.com/song-collectors/bury-me-in-kilkenny-mother
https://soundcloud.com/song-collectors/unknown-singer-mammy-make-my

Oh, and Frank Quinn, the singer who gave Hamish Henderson that fine version of "The False Knight Upon The Road", also had a great version of Lord Randal:
https://sounds.bl.uk/World-and-traditional-music/Peter-Kennedy-Collection/025M-C

The song starts at 06:00 in the recording.
It is the only Irish text I've heard so far where the dying man is actually named Randal.
All the other Irish versions leave him unnamed.