The Little Red Fox (An Madairin Rua) in Irish, is a very well known song. The lyrics are published in many places, incl. in O'Lochlainn's second Ballad Book (1965). The song was written by Francis Arthur Fahy (1854-1935)from near Kinvara, Galway who spent all of his adult life in the British Civil Service in London. He may have been originally inspired by a traditional song. Fahy also wrote The Ould Plaid Shawl, and, I think, Rebel Heart. Ther is very probably a website on him