Cineal Eoghain, a branch of the Northern Ui Neill:

Chiefs of Magh Itha (Moy Ith) in the 12th century, decended from Eoghain, son of Niall of the Nine Hostages, were O Baoighile (O'Boyle),  O Maolbreasial (O'Quinn), O Bruadair (O'Brody), O Maoilfabhaile (O'Hogain), O Dunagain (O'Donegan), MacMurhadu (Mac Murrough), O Fergail (O'Freel), Mac Ruaidhri (Rogers), O Ceallaidh (O'Kelly), O Tighearnaidh (O'Tierney), O Ciarain (O'Kieran), O Duibhduanaidh, O Haighmaill (Hamill)

Cineal Tighearnaigh, a branch of the Ui Neill.

Hy Fiachrach, a branch of the Ui Fiachrach:

Fir Kera (Men of Carra) descended from Erc Cul-bhuidhe (Cool-wee), eldest son of Fiachra, son of King Eochaid Muigh-medon.  The three chieftains of this sept were: O Tighearnaigh (O'Tierney), O Gormghail, and O Muiredhaigh (O'Murray) .