Hello M.,
What a confusing situation! I agree, avoid looking at stuff on the WEB or trying to diagnose...sometimes, more information is less helpful. Your doctor will have better info.
One thing that hasn't been mentioned (and maybe I'm completely off base about this) is checking in with a well-reputed pediatric cranio-sacral therapist. If you are in the Portland area, I highly recommend Dr Elise Hewitt at Portland Chiropractic group. She is a founding member of the American group that works in Pediatric Chiropractics. If it were me, I would call and ask to talk with her over the phone about your situation before scheduling an appt. I am not sure that craniosacral therapy would work for your daughter, but it may be an alternative to surgery that is worth checking in on.
This may sound a little "woo woo", but I've been taking my son to her since he was 2 weeks old (he's two now) and trust her completely. He's rarely sick and it's wonderful to know that as he grows and takes those hard tumbles that misalign all sorts of bones (esp. the ones in his head) that they can be put back into proper place. Please Google her name online, for more information. She's wonderful, and won't make false promises or lead you down a path that is going to cause more confusion. (There's not a lot of ego with this lady!)
Take care and my very best to your family.