Help with finding a girl's name!

So I’m having a hard time trying to come up with a name for my main character. I [name_u]LOVE[/name_u] names, and so I’ve seen too many now and can’t come to a decision. So I have two questions:

  1. Does anyone know of a name that is pronounced eye-LIS? I’ve looked at all the variations of [name_f]Eilis[/name_f], but that is a -ish sound at the end. It popped in my head after it accidentally came out of my mouth when calling my cat [name_f]Isla[/name_f].

  2. I’m also looking for Norse names that would not be EXTREMELY uncommon in [name_f]Canada[/name_f] (or [name_u]North[/name_u] [name_u]America[/name_u]). I’m trying to have it kind of make sense with the naming of the rest of the family, which is [name_f]Signe[/name_f] (maternal grandmother), [name_f]Hilde[/name_f] (mother) from Norway and unnamed Irish dad (not too worried about his first name yet). It has to go with the last name [name_u]Adair[/name_u]!

If anyone can help me, that would be so awesome! I’m the type of writer that cannot begin writing until I have my main character’s name, and it has to feel right to me, which takes forever.