omg... this is one of the best questions anyone has EVER posted!!! :O
My Hobbit name is Sweetpea Brandybuck of Buckland
and my Elvish name is Finduilas of Dorthonion (i didn't get a last name with that...)
Omfg!! I'm related to Merry!! (which means i'm also related to Pippin!!!!! :D)
The really accurate way of finding out your elven name is finding the definition of your names and translating it into Sindarin/Quenya.
Abigail mean Father's Joy, which, in Sindarin, is Adargell and in quenya is Ataralassë