Sounds to me like you have a "way out there" gifted child, dropped into a situation where she feels absolutely NO connection to her so-called "peers". Really, kids with such high IQ's sometimes don't feel like they fit in and therefore, isolate themselves.

Who knows, could be Asbergers. But I am suspecting it all being related to her very high intelligence and she is being completely misunderstood.

Still, can't hurt to get an evaluation from a PRIVATE psychologist.