In this expedition Ivar, a son of Rögnvald, Earl of Moeri, was killed.[10] In order to recompense Rögnvald for the loss of his son, King Harald bestowed on him the territory of the subjugated isles of Orkney and Shetland, with the title of Earl of the Orkneys. Harald seems to have dealt similarly with the Hebrides, but his conquest of the vikings in these remote isles was not so complete as in the Orkneys. Ketil Flatnef (Flat nose), who, according to the Laxdæla Saga, had emigrated to the Hebrides because he could not resist King Harald in Norway, had married his daughter Aud to Olaf the White, the powerful king of Dublin, and had established himself in a kind of independent sovereignty in the Hebrides; and though he seems to have migrated from them to Iceland in consequence of King Harald’s expedition, the continued hostility to King Harald’s rule is evinced by the fact that the second earl whom he sent to the Hebrides, AsBjörn Skerablesi, was slain by two relatives of Ketil Flatnef, his wife and daughter taken captive, and the latter sold as a slave. Rögnvald, however, returned to his own Earldom in Norway, and made over his newly-acquired possessions to his brother Sigurd, the “first earl” of the Saga. IV. THE EARLDOM IN THE NORSE LINE, 872-1231. Thorstein the Red, son of Olaf the White, king of Dublin, came then to the north, and allying himself with Earl Sigurd, they crossed over to the mainland of Scotland, and subdued Caithness and Sutherland as far as Ekkialsbakki, and afterwards carried their conquests into Ross and Moray. In this invasion Earl Sigurd killed Maelbrigd the buck-toothed (Melbrigda tönn), a Scottish maormor of Ross or Moray; and having tied his head to his saddle-bow, “the tooth,” which was very prominent, inflicted a wound on his leg, and the wound inflaming caused the death of the earl, who was hoy-laid (buried in a mound or cairn) on Ekkialsbakki.[11] After his death, Thorstein the Red reigned as king over the conquered districts of Scotland, which at that time, says the Landnamabók,[12] comprehended “Caithness and Sutherland, Ross and Moray, and more than the half of Scotland.” The Laxdæla Saga[13] says that in his engagements with the Scots Thorstein was always successful, “until at length he became reconciled with the King of the Scots, and obtained possession of the half of Scotland, over which he became king.” But he was shortly afterwards slain in Caithness by the treachery of the Scots; and after his death Aud, his mother, migrated to Iceland. Previous to her departure she had given Groa, the daughter of Thorstein, in marriage to Duncan, earl or maormor of Duncansby in Caithness. Thus the Norse earldom of Caithness passed for a time into the family of one of its native chiefs. But by the subsequent marriage of Grelauga, the daughter of Duncan and Groa, with Thorfinn Hausakliuf, son of Torf-Einar, Earl of Orkney, the Scottish earldom was again added to the earldom of the Isles.