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). 

Here are the cow's dots.

https://thesession.org/tunes/2825