Here's a reel which was included in O'Neill's Dance Music of Ireland in 1907 as 'An Bhó Mhaol / The Hornless Cow' but was recorded by Liam Walsh in 1933 as 'The One Horned Cow'
https://archive.org/details/LiamWalshTheFairyReelTheOneHornedCowTheLimestoneRock. The beast must have sprouted a bit in the intervening 26 years; unless 1930s Waterford had a population of bovine unicorns - possibly only visible to Uilleann Pipers. Maybe it still does.
(There's a baby battering a table in the background of this recording - more in time than many percussionists).