The King of Mann's father was known as the King of what?
Lǫgmaðr Guðrøðarson:  He was the eldest son of Guðrøðr Crovan, King of Dublin and the Isles, a Norse-Gaelic dynast who conquered and ruled the kingdoms of the Isles and Dublin, before dying in 1095. Kingdom of the Isles:  The islands concerned are sometimes referred to as the Kingdom of Mann and the Isles, although only some of the later rulers claimed that title.
Dublin