As NBL (Norsk Biografisk Leksikon) rightly states (https://nbl.snl.no/Inga_Fra_Varteig), the praents of Inga are unknown. There is no evidence that she was daughter of Olav Smørkoll.
Inga of Varteig married Haakon III Sverkersson, King of Norway, son of Sverker Sigurdsson, King of Norway and Astrid Roesdotter.1
Child of Inga of Varteig and Haakon III Sverkersson, King of Norway
Haakon IV Haakonsson, King of Norway+ b. 1204, d. c 15 Dec 1263
Citations
[S16] Jirí Louda and Michael MacLagan, Lines of Succession: Heraldry of the Royal Families of Europe, 2nd edition (London, U.K.: Little, Brown and Company, 1999), table 24.
Unknown Parents Parents
What about this profile: Margrethe Olavsdotter, should she be disconnected from her parents aswell? It looks like only "evidence" for this relationship was the claim that Audun i Borg was related to Inga i Varteig in some way, and before Inga was disconnected from her parents, Inga was listed as Auduns sister-in-law. I guess this means that Auduns wife also should be disconnected from her parents, but was she a sister of Inga?