It’s possible to have an “anonymous birth”, so mother and baby get medical care, but don’t need to give a name. It is meant for cases where the mother wouldn’t or couldn’t seek help otherwise, e.g. in abusive relationships or family situations.

Well, I was actually replying to a comment and not the main post but fd that up?! You are right though, why wouldn't they want important and pertinent information to make the best choices throughout the procedure?