Unique names with Ada as a nickname?

Girl Names
1

I [name_u]Love[/name_u] the name [name_f]Ada[/name_f], but I really need it to be short for something.
[name_f]Ada[/name_f] is a character I’m writing about, and she lives in a fantasy world, so the run of the mill [name_f]Adelaide[/name_f] sort of names aren’t what I have in mind, and they’re all I can find. Help!

2

[name_f]Andromeda[/name_f]?

3

[name_f]Adeline[/name_f]
[name_f]Madaleine[/name_f]
[name_f]Milada[/name_f]
[name_f]Adelaide[/name_f]
[name_f]Adabella[/name_f]
[name_f]Adalia[/name_f]
[name_f]Adelpha[/name_f]/[name_f]Adelfa[/name_f]
[name_f]Adelia[/name_f]
[name_f]Adessa[/name_f]
[name_u]Nevada[/name_u]

4

[name_f]Adamina[/name_f]
Adalgisa
[name_f]Adeliza[/name_f]
[name_f]Adela[/name_f]
[name_f]Adhara[/name_f]
[name_f]Adina[/name_f]
Adastreia
[name_f]Adriana[/name_f]
[name_f]Amada[/name_f]