From Wikipedia translate
The archipelago is divided into the Outer and Inner Hebrides.
De kallades Suderöarna (Söderöarna) från fornnordiska: Súðreyjar.
They were called the Suder Islands (Southern Islands) from Old Norse: Súðreyjar. The largest of the islands in the Inner Hebrides is Skye. Other major islands are Mull and Islay.
So Gudröd was likely born in the Hebrides?
This seems the simplest answer summary:
While the familial origins of Godred Crovan aren't completely proven, it appears certain that he was a direct descendant of Amlaíb Cúarán, King of Northumbria and Dublin.[33] Although the thirteenth- to fourteenth-century Chronicle of Mann calls him in Latin "... filius Haraldi nigri de Ysland",[34] implying that his father was named Aralt,[35] the fourteenth-century Annals of Tigernach instead calls him in Gaelic "... mac Maic Arailt",[36] contrarily implying that it was Godred's grandfather who was named Aralt.[35] Godred, therefore, may have been either a son,[37] nephew,[38] or brother of Ímar mac Arailt, King of Dublin.[39][note 2] However, the early-thirteenth-century Norse pedigree Achau Brenhinoedd a Thywysogion Cymru in the Welsh collection of genealogical tracts records "Gwrthryt Mearch" (Godred Crovan) as the son of "Harallt Ddu" (Harald "The Black" of Islay), who in turn was the son of "Ifor Gamle" (Ímar mac Arailt). As such, it appears that Godred was not the son, nephew or brother, but, in fact, the grandson of Ímar mac Arailt, King of Dublin, patrilineal descendant of Amlaíb Cúarán, King of Northumbria and Dublin, and member of the Uí Ímair.[42] The chronicle's passage may further cast light on Godred's familial origins. Although "Ysland" may represent Iceland,[43] there is no other evidence linking Godred to this island.[35] Alternately, the word may instead represent the Hebridean island of Islay,[44] where he is otherwise known to have ended his life.[45] Another possibility is that "Ysland" represents Ireland,[46] which, if correct, would evidence Godred's close familial links with that particular island.[47][note 3] Whatever the case, according to the same source, he had been brought up on Mann.[49][note 4]https://en.wikipedia.org/wiki/Godred_Crovan
Hebrides does seem likely, although nothing certain enough. Norway, however appears to have no proof that I can see, and will remove.
Thanks for spotting.