Theres an originally English song to this same air or a variant of it that was recorded by Jimmy Crowley from Cork in the early 1980s called The Fox and the Hare. Details are in
this thread

Thats http://www.mudcat.org/thread.cfm?threadid=41739 if the clicky doesn't work.

Jimmy say's in the sleeve-notes of his Uncorked album that he learned it from a singer called John O Connell from Baile Mhuirne in County Cork, but the song was originally English. I don't know if this was the tune of the original song or it was added to it because of the Fox connection.