Sad to hear!
My thoughts go out to you and your daughter!
Me being a doctor (though neither ID or Paed), this is how this comes out to me:
That girl obviously has a fungal meningitis, which is higly uncommon, besides in patients suffering from diseases affecting the immune system, such as AIDS, leukemia and/or other blood cancers. I also hear she has an extremely high white cell count, which could stand for a: serious infection in healthy person or b: Leukemia or other blood malignancies. The picture that is described sounds very much like a little girl with leukemia, secondary immune failure and cryptococcus meningitis. This infection is awful, and take a very tough medication to cure, i.e. Amphotericin B administered directly into the cerebrospinal fluid. It can through this regimen be cured, and the repeated spinal taps may very well indicate that intrathecal injections are being given.
To strengthen my hypothesis, id need some questions answered:
Was this girl sick before this incident occured? did she develop bruises easily, did she often get banal infections like otitis/tonsillitis? Was she anemic/pale before this incident?
These are suggestive of leukemoid diseases, which could very well be the centre in all this.
I would be happy to help, and if contact was made between me and this father, i could try to answer questions.
A surgeons view anyway.
God Bless
/stomp