Her name is Wynne, at least in the english release. Should her character tag be changed to reflect that?

To my knowledge, the Japanese version doesn't have any specific name for her. Some places reference her as ベルンド工房の店員, which is still just Bernd Workshop Clerk.

Definitely something for the forums where people can decide on whether we stay true to the Japanese version or use a name that was seemingly given to her during localization. Discussing it here would just clutter the comments page.