Can I sue for negligence?

My daughter vomitted more than 3 times friday night. Saturday she had been kind of warm throughout the day. saturday night she became unresponsive and her lips were turning blue. rushed her to a hospital that was chosen by ambulance. ambulance drivers were uncaring and seemed cold. at the hospital we were taken to a room semi quickly i would say. they gave us ibuprofen which lowered her temp which was 103. after that they gave her juice and took a urine sample. then sent us home with a prescription for ibuprofen. we arrived home around 3 that morning. from getting home until about 5:30 sunday morning she was back at 102. i gave her ibuprofen every few hours as stated by directions. it seemed to be working then sunday night she was getting hot again. i took her to a different hospital told them what was going on and we quickly were taken to a room. they began testing for swine flu and such and took us down for a chest x-ray. BAM! they diagnosed her with pneumonia after only being there about an hour or two. gave her 2 shots before we left and monitored her 20 minutes to clear any bad reactions. then gave me prescriptions for antibiotics and pain medicine. Can I sue the other hospital for negligence on their part? also what is the best way to find a good but decently priced lawyer?