There are several tunes called Ryan's Favourite. The most common one is actually titled The Castle Jig by the author, Sean Ryan.
I can post ABCs for you if you can use them. If not, contact me at: radriano@consrv.ca.gov
I can sent you GIFs or, alternatively, I can fax the music to you directly. Just let me know what format you can handle. Also, there is a published collection of Sean Ryan tunes called The Hidden Ireland. Don't know the publisher offhand but I can find out for you.