There is a tune, often recorded, called "The Gallowglass" I think it's a jig, haven't got a copy to hand.

Also a NE England tune called "The Gallowglass Rant" recorded by Willie Taylor, Joe Hutton and Will Atkinson available on the Voice of the People series. I don't know if it's a variant of the jig.

There was also a well known Gallowglass Ceilidh Band in my youth.