Oddny is one of seven daughters of Throst, one of the ship captains and close friends of Earl Beorcol and the brothers Koll and Einar Alriksson. Therefore, it was a good match to marry Koll’s youngest son, Tyrkir. It’s also convenient that her older sister, Geirlaug, married his older brother, Saxi. The newly married couple go on to have a son named Hallgrim.