www site Directory of royal genealogical data is missing her father but has generations prior to him:
Donnchad Carrach Calma macMurchada died 969
Murchad macOengus rigdamna Temrach
Oengus rigdamna Temrach macFlann O'Néill died 915
Flann Sinna macMáele Sechnaill O'Néill, King of Ireland & Mide, died 5/25/916, buried Clonmacnoise
Máel Sechnaill macMáele Ruanaid O'Néill, King of Ireland & Mide, died 11/27/862, buried Clonmacnoise
Máel Ruanaid macDonnchada Midi O'Néill, King of Mide, died 843
Donnchad Midi macDomnaill Midi O'Néill, King of Ireland, died 797, buried Clonard
Domnall Midi O'Néill, King of Ireland, died 11/20/763.
There are then four missing generations, then the thread follows back to Echu Mugmedón, about 400 A.D.