Maid With the Bonny Brown Hair
This "jig" is the air to the song "The Maid With the Bonny Brown Hair". It has been re-used recently by Con O’Drisceoil for his funny song called "The Spoons Murder", which has been discussed at The Session at https://thesession.org/discussions/3056.
The song appears on the CD "It’s No Secret" by Hammy Hamilton, Seamus Creagh, and Con O’Drisceoil.
I suppose one could play this as a jig by repeating the A and B parts.
The Maid with the pretty brown hair.
Found also in Donegal in air form as Mo chro bheag ag bun chnoc an tui and more recently an crubog a dimigh go toraigh sung by Scara Brae