Welcome @mmz, I'm sorry to hear that your daughter is experiencing extreme pain and loss of strength in her hands. There are a couple of discussions where you might find an answer to your questions:

-- Prolozone injections:
https://connect.mayoclinic.org/discussion/prolozone-injections/
-- Thumb and hand joint pain arthritis:
https://connect.mayoclinic.org/discussion/thumb-and-hand-joint-pain-arthritis/
Also, here is some more information on the topic that might be helpful.
-- Arthritis of the Hand: Symptoms, Types & Treatments:
https://my.clevelandclinic.org/health/diseases/7082-arthritis-of-the-wrist-and-hand
Has your daughter discussed the different options for treating her hand pain with her doctors, or thought about getting a second opinion?