That would be my concern, too. 10 to 12 times a day is alot for any child, let alone Lily's condition. Do you notice that she eats/drinks, and it comes right back up? If she can't hold food down and hasn't had any bowl movements, I think I would want her seen to make sure she does not have a bowl obstruction. When Andrew had his he vomited like crazy, was not going to the bathroom, and was downright lethargic..
An obstruction that is not treated could result in something called intesuseption, where the bowl kind of telescopes inside itself. Be careful and let us know what you find out.