Nice one. Always wondered what happened to River Dance, Nico. All of my questions are now answered.
Yes, great fun! I’m learning the tune, too.
It’s a 19th cent. American variety show tune, Kitty O’Neill’s Champion Jig. It was adopted into the Irish tradition, and is now often erroneously called Kitty O’Shea. But, no need to split hairs over that any further than necessary.
You’ll notice it’s not a jig as we interpret the word these days. Sometimes it gets pigeonholed as a barndance, but the reason for that escapes me. It was originally a soft shoe piece, so the clip it’s often played at nowadays surely outstrips what was originally intended, in case it matters. I used to back up a fiddler on this tune, and he took a relaxed pace with it - around 66 bpm - which gave the tune a lilting, elegant quality. So that’s my preference for you. 
Here’s a PDF file with some background: http://blarneystar.com/Kitty_090114.pdf
Jig refers to a type of step used, and a sand jig also included… Sand. 
That’ll do a number on your floorboards.
I had to go and find the original. Much better :
Thanks! I thought the original had an American Old Timey flavor to it,
so it’s interesting that it originated here. I’ve learned about half of it now.
Really charming, the whole thing.
https://www.youtube.com/watch?v=ikcsOmPrs7U The notation from Ryan’s has quite a few accidentals, giving it more of a ragtime-ish feel. It is not part of American OT repertoire, as far as I know. When it was translated into Irish, it was straightened out and became hornpipe/barndance. I prefer it played more like a hornpipe myself than a barndance, although I don’t feel it is either of them.
Here’s the full version
https://www.youtube.com/watch?v=4BZYPzeZ-wI