The Bothy Band was one of my favorite traditional Irish groups. Here's an example to show why:
The Bothy Band lasted barely four years (1975-79), but made much marvelous music in their time together. After they broke up, Donal Lunny (bouzouki) returned to Planxty, and Triona Ni Dhomhnaill (keyboards and vocals) and her brother, Micheal O'Domhnaill (guitar and vocals; spoken intro on the video above), emigrated to the U.S., where they have performed in several groups. Others in the group were: Paddy Keenan on uilleann pipes; Matt Molloy (later to join the Chieftains) on flute; and either Tommy Peoples or Kevin Burke, depending on when the video was made, on fiddle.
Update: More Bothy Band here.