L.M.
Contact her pediatrician to get a referral to AZEIP and a child pscyhologist if she's younger than 3. Contact DDD up til age 6. AHCCCS is health insurance and takes 45 days to process. I don't know how you can collect money for her disability. It's more of insurance than anything.
Check out this website and ask them questions.
http://www.sharingds.org/
Check out the SSA website regarding qualifications. http://www.ssa.gov/pubs/10026.html
Good Luck!