An Icelandic diminutive of Birgitta turned popular first name there, currently ranking among the Top 30 girl names in Iceland. Parent name Birgitta is either a Nordic variant of Brigitta, from the Irish Brighid "exalted one", or a feminization of the Norse masculine name Birger, meaning "help, rescue".

Birta

Berglind

Bryndís

Brynja

Bríet

Dagný

This Old Norse girl name has a lovely meaning and a familiar yet distinctive sound.

Edda

Elva is the anglicized version of Ailbhe, growing more popular in Ireland. 

Elva

Embla

Eyja

Eyrún

Freyja

A traditional Nordic name, Helga was extremely popular throughout Scandinavia in the 19th and early 20th centuries. In Germany, it was a Top 10 pick from 1924 to 1943. And it still ranks in the Icelandic Top 50 today.

 In the English-speaking world, Helga has been associated with a series of unfortunate characters in popular culture, from the wife of Hägar the Horrible in the comic strip of the same name, to Helga Pataki from the kids' TV show Hey Arnold!. But more recent, more positive Helgas – like Helga Hufflepuff, one of the four founders of Hogwarts, and a character in the drama series Vikings – could redeem the name.

 Helga's Russian cognate, Olga, is a classic there, and still ranks in the Russian Top 50 today.

Helga

Short for Brunhilda, the operatic Valkyrie of Teutonic legend, Hilda still has not quite shaken off that image that image. Though with the resurgence of Matilda, she might just have a bit of a comeback. 
 On its softer side, St. Hilda is the patron saint of learning, culture and poetry; Hilda Doolittle was the poet known as H. D. Hilda was a Top 100 name in the early decades of the twentieth century, hanging in until 1986--her image not helped by the green-complected comic strip character Broom-Hilda. Still popular in Sweden, where she now ranks at Number 77.

Hilda

Hulda

Harpa

Hekla

Ing was a powerful Norse god whose name inspired several modern variations -- though Inga has become a caricatured Scandinavian choice. 

Inga

Ingunn

Katla

Kolbrún

Lilja

Lára

Lóa

Silja

Salka

Sunna

Svala

Sóley

Thóra

Thórunn

Tinna

Vala

Ylva

Yrsa

Ása

Ásdís

Ásta

jackal's list "Icelandic Girls Names" of 38 great name ideas: Birta - Ásta!

Icelandic Girls Names

Female names of Icelandic origin, or names that are commonly used in Iceland. Containing sounds that are possible for non-Icelandic-speakers to pronounce.