The Rakes of Mallow is the tune used as the background for the long fight - over the hills, etc. It shows up as "incidental" music in a couple of other places, with fragments used almost as sound effects.

I don't have good enough "recognition" to place the other couple of tunes that are used. There was a rather extended discussion of music in this film in another thread, possibly a year ago; but my recollection is that the thread name had no direct connection so it may a be little hard to dig up. Maybe someone with a better memory...?

John