This reel originates from Ulster in Ireland but appears to be based on an earlier Scottish reel Lochan a' Chait that was written by James Stewart-Robertson (1823-1896).
Ref: https://tunearch.org/wiki/Riley%27s_Reel
Ref: https://tunearch.org/wiki/Annotation:Riley%27s_Reel
Ref: https://tunearch.org/wiki/Annotation:Lochan_a%27_Chait