Lhel's list "Throne of Glass Series" of 4 great name ideas: Asterin - Florine!

Throne of Glass Series

Will continue to add names as I read through the series! Currently finished with two of out of six. 

Asterin

The name of the Roman goddess of the household is not recommended for your little goddess. 
More on that deity: Vesta is primarily associated with the vestal virgins, her priestesses, who tended the sacred fire at the hearth of her temple in the centre of Rome. The continued burning of vesta’s flame was considered vital to the continuation of Rome.

Vesta

Ghislaine still sounds unusual to us, even though in France this name is dated. It can also be spelled Ghislain.
 
In the US, it is best known through association to Ghislaine Maxwell, the French-British socialite indicted in the Jeffrey Epstein scandal.

Ghislaine

This rare and archaic French name is a little too close to Chlorine for our liking. Despite its flowery origins, Florine has a warrior history - Florine of Burgundy was a female French crusader, who fought in battles alongside her husband and died after continuing to fight with seven arrows in her chest.