The Annals of Tigernach recorded that: "Cadla Ua Dubthaig came from England from the Son of the Empress, having with him the peace of Ireland, and the kingship thereof, both Foreigner and Gael, to Ruaidhrí Ó Conchobhair, and to every provincial king his province from the king of Ireland, and their tributes to Ruaidhrí."
This passage describes the transfer of power in Ireland under the reign of Ruaidhrí Ó Conchobhair, where Cadla Ua Dubthaig brought peace and the kingship to Ireland from England. He granted each province to its respective king with their tributes to Ruaidhrí.