Wow, it really sounds like you having a baby and not wanting someone other than the parents to name said baby is all about her. A bit of an SS, if you'll excuse me for saying so.
Well, at least she got to save face by shifting the blame, which means she might actually drop it for good. But I'd be ready (as if you don't have enough in your hands what with a baby on the way and all) to jump on her the minute she starts using a name that isn't your daughter's. Chances are, though, she'll move on to something else. Let's all hope it isn't anything that affects others nearly as much as this did.
Also, not having anyone with you at the hospital while giving birth? I took that at face value, and imagined all the doctors and staff had gone home for the night, leaving you alone in an empty building with all the lights off.
But otherwise, going though a stressful medical procedure with the needed doctors and medical staff present and no non-essential people around is very much the norm. It's not a party or a social visit for goodness' sake; some people like to have friends for support, but that is at a special request, since it is by no means the standard.