On the link skylizard posted, there were scattered references to Jahi's family giving her a hamburger after surgery. Heck, they even admit to giving her a Popsicle. The nurses state that it would be most unusual (if unheard of) for it to be "proper" to have given her ANYTHING that soon after surgery.
There's enough "floating" around about this alleged hamburger that I wonder if that's not at the root of the issue. If, in fact, the family contributed to Jahi's problem by their actions, they would be under tremendous guilt right now and perhaps this contributes to their actions now.
Of course, the surgery was WAY more than "routine" tonsillectomy (as the nurse site points out), and yet the family continues to insist that it was "simple" and "routine." So, the family is not portraying things accurately at all. The hospital has something to say and they can't. It must be very infuriating to the staff there to be portrayed by the family as incompetent and uncaring, and not be able to respond.