About Svanhvit Ringsdatter of Ringerike
Hálfdanar Saga Eysteinsson
Þrándr hefir konungr heitit. Við hann er kenndr Þrándheimr í Noregi. Hann var sonr Sæmings konungs, sonar Óðins, er réð fyrir Hálogalandi. Sæmingr átti Naumu, er Naumudalr er við kenndr. Þrándr var mikill höfðingi. Hans kona hét Dagmær, systir Svanhvítar, er Hrómundr Gripsson átti. Þeira sonr hét Eysteinn, en annarr Eirekr inn víðförli, er fann Ódáinsakr. Hans móðir er ekki nefnd.
The Saga of Halfdan Eysteinsson translated by George L. Hardman
The king was named Thrand. Thrandheim in Norway is named after him. He was the son of King Saeming, son of Odin, who ruled Halogaland. Saeming married Nauma, after whom Naumadal is named. Thrand was a great chieftain. His wife was named Dagmaer, sister of Svanhvit, who was married to Hromund Gripsson. Their son was named Eysteinn, and the other Eirik the Wide-traveller. His mother is not named.