I usually lurk, but I had to chime in. Our DD is Eve. We are religious and well-aware of the story.
1/ no one says that to Adam's parents, which is a reflection of the history of reading the Bible in misogynistic ways.
2/ Eve means life and breath, as well as mother of all living. That's a STRONG, vibrant name (Adam pretty much means dirt, FWIW).
3/ If we didn't use biblical names associated with ambiguous stories, we wouldn't use most biblical names.