No, it's not a "norwegian" name, but the most common name's in Norway aren't.
This is the top 10 list for 2013:
1.Emma (Germanic/English)
2.Sara/Sarah (Hebrew)
3.Sofie/Sophie (Greek)
4.Ingrid/Ingerid (Norse/Scandinavian)
5.Nora/Norah (Latin)
6.Maja/Maia/Maya (Danish/Scandinavian)
7.Linnea/Linea (Swedish/Scandinavian)
8.Thea/Tea (Greek)
9.Sofia/Sophia (Greek)
10.Emilie (Latin)
Personally, I'm not very fond of names like: Ingrid, Astrid, Berit, Arnhild, Ragnhild, Hildegunn, Hildur etc.
I like names that are a bit more international. I myself have a very common "norwegian" name, which is Marthe - and whenever I'm traveling, people have big trouble pronouncing it. Mostly is becomes Martha or Mertha.
That's why I want my children to have either international name or at least a name that's easy to say or pronounce in most languages.
I liked Eviah because it's not a common name, and I though.. since Eviah is so much like Evie, Eva, Elvira (and norse names like Elida, Elvida, Evina) - it would be an easy name to pronounce abroad, but I see now that I couldn't have been further off.
But it's good to know.. because I don't wanna give my children a name that turns out to be inconvenient.