Their tuath was located in the extreme west of County Galway, Republic of Ireland, giving their name to Connemara, an anglicised form of Conmhaicne Mara.
The territory contains the five civil parishes of Ballynakill/Baile na Cille, Ballindoon, Moyrus/Maigh Iorras, Omey/Iomaidh Fheicín and Inishbofin/Inis Bó Fine.
The chiefs of the Conmaicne Mara were the O’Kealys, and their cadets were the MacConneelys, O’Devaneys, and O’Clohertys, with the O’Falons [Folan] as their hereditary brehons.
A court inquisition in 1607 includes the following as leading chiefs of name in the barony of Ballynahinch: O’Flaherty of Bunowen, MacConroy, MacConnor, MacDonough, O’Duan, O’Lee, and MacConneely.
MacConnor and MacDonough, are chiefs of branches that separated from the O’Flahertys, while the two after that, O’Duan and O’Lee, headed old followers of that family.