About Brooke Greenberg's Physician
Brooke Greenberg's pediatrician appears to be Lawrence Pakula, (occasionally spelled/misspelled in the internet as Laurence). He's a real physician and appears to be the pediatrician in the video.
What is interesting is that he's published a number of scholarly articles (7 using the search pakula l[auth] in pubmed) in the past but none on this patient. If I was taking care of a patient with a mysterious condition (the only one of her kind) I'd sure write at least a case report or letter to a medical journal.
I've tried to find other articles on her in but haven't been able to so far (it's difficult to think of the right search terms in such a weird case). Maybe someone with more time to stare at pubmed will have better luck?