Einarr, Thórir's half-brother, better known by the nickname Torf-Einarr, became the fourth Jarl of Orkney and established a direct bloodline that would rule for several hundred years.
[3][4] Two sons of King Harald Fairhair and Snjófríthr Svásadóttir, Hálfdan háleggr and Guðrøðr ljómi, killed Thórir's father, Rǫgnvaldr, by locking him in his longhouse with sixty of his men and setting it on fire.
King Harald, apparently horrified by the actions of his sons, dispossessed Guðrøðr and restored Rǫgnvaldr's possessions to Thórir.
They had a daughter, Bergljót Þórisdóttir (born c. 914), who married Sigurð Hákonsson, Jarl of Lade and was mother of Hákon Sigurðsson.
[8] Landnámabók attests two illegitimate children of Thórir by unnamed women: Outside of the Norse tradition, he also charged with the paternity of: