* NN is the Latin abbreviation for "nomen nescion" or "non nominandus" meaning "name is not known" which is a standard across Europe for genealogy, newspaper reports and court affairs. This is more language neutral and globally acceptable than using the English terms "Miss", "son" or "daughter" in place of an unknown given name. It is also preferable than leaving the given name blank, as it clearly indicates the name is missing.
He was the last surviving son (of 5) of Thorfinn Skull-Splitter. We know little of his reing, but had 2 daughters and a son, Sigurd, who succeeded him. Lofve's wife, Eithne was a daughter of Cerball Kjarvall, King of Ossory.
Thorfinn was the youngest son of Torf-Einar. He may have ruled jointly with his brothers and they were all subject to Erik Bloodaxe of Denmark and later Eric's mother, Gunnhildr. Thorfinn's wife Gredlog was a daughter of Duncan (Dundag), Earl of Caithness and Groa Torsteinsdatter, the daughter of Thorstein the Red, King of Caithness. He had five sons and two daughters.