Jimmy McCarthy, on his album "Postcards from Lemon Bay" performs a tune called COWBOY JIG. You can hear a sample at Allmusic.com.

The various-artists album "Heat the Hoose" has a 9-minute medley performed by (I think) Alasdair Fraser, called "LOCHABER NO MORE/CALLIOPE HOUSE/COWBOY JIG." That would imply 3 different tunes, wouldn't it? But I haven't heard it.

Anyway, there's another thread that contains the ABC for COWBOY JIG, but it doesn't answer the question of whether it has another title.

Go here: Cowboy Jig-Convert ABC to Notation for me?