Ó Cárthaigh was the name of a Gaelic-Irish family located in Ui Maine, though apparently not members of the dynasty. As Carty, it is still found in County Galway and County Roscommon.
See also
Muireadhach Ua Cárthaigh (died 1067) was Chief Poet of Connacht. Feardana Ua Cárthaigh (died 1131), Chief Poet of Connacht. Feardana Ua Cárthaigh (died 1131), Chief Poet of Connacht. Aodh Ollbhar Ó Cárthaigh (fl. 15th century), poet. Michael Carty (1916–1975), Irish politician.
References http://www.irishtimes.com/ancestor/surname/index.cfm?fuseaction=Go.&UserID=