Cáelbad (Cáelbhadh, Caolbhadh, Caolbhaidh), son of Cronn Badhraoi, a descendant of Mal mac Rochride, was, according to Lebor Gabála Érenn, a High King of Ireland for a period of one year.
Inneacht daughter of Lughaidh was the mother of Caolbhaidh son of Cronn Badhraoi; and he was slain by Eochaid Mugmedon.
[1][2] The chronology of Geoffrey Keating's Foras Feasa ar Éirinn dates his reign to 343–344, that of the Annals of the Four Masters to 356–357.
[4] Furthermore, John O'Hart's Irish Genealogies gives the line of descent onwards from Caolbhaidh descendant is his son:- The Macalister translation of Lebor Gabála Érenn says that Cáelbad was also King of Ulster when he killed Muiredach Tirech to take the Kingship.
It goes on further to say in annal M357.1 that after Caelbhadh, son of Crunn Badhrai, had been one year in the sovereignty of Ireland, he was slain by Eochaidh Muighmheadhoin.