Ari Þorgilsson quotes a short section from the lost "Torf-Einarr’s Saga" in the "Landnámabók". It begins: "Earl Turf-Einarr (of Orkney) had a daughter in his youth, she was called Thordis. Earl Rognvald brought her up and gave her in marriage to Thorgeir Klaufi, their son was Einar, he went to Orkney to see his kinsmen; they would not own him for a kinsman; then Einar bought a ship in partnership with two brothers, Vestman and Vemund, and they went to Iceland." The "Landnámabók" goes on to make brief reference to Einar's travels there. It also lists his two sons, Eyjolf and Ljot, and some details about them and their descendants. The sagas describe Einarr as tall, ugly and blind in one eye, but sharp-sighted nonetheless.