The name a person is given at birth has no real relevance, it all depends on what he is called at the moment. One can change ones name as often as one likes (but not one's fathers). Today when women are only called by their English names and only sign their English names their Hebrew name given at birth has absolutely no relevance whatsoever. (Men at least have aliyot to remind them). Is a kesuba or get kosher if a woman uses her hebrew name?