My mother's name is
Ann, and some people call her
Annie. It could be short for...
Annabelle/Annabel
AnnaAnnoraAngelaAngelinaAngelicaAntonia
...and any other An- name you can think of.
I think it stands on its own just fine, though. It's a nickname, sure, but I know a lot of people who have nicknames as full names, and they seem fine with it.