Just in case you think I don't know what you have gone through: My son suffered a minor stroke when he was six months old. That left him with seizures and some developmental delays but he seemed to be recovering well. When he was a year old, he had a fever and had a really hard seizure. We took him to the ER. While in the ER, he went into an uncontrollable series of seizures lasting 2 hours. They finally had to put him into a medically induced coma to stop the seizures, and life-flight him to the major children's hospital in Houston. There was severe brain damage, and he was left with cerebral palsy and severe mental retardation.
Could we have sued the hospital? Probably. It never even entered my mind. The hospital did everything they could, as far as I could tell. Just because there was a bad outcome did not make it their fault.
Was this your first child? Because the importance of replacing electrolytes in an infant is something I learned with my first child, from my pediatrician. I'm sorry for what happened to your daughter, but if lawyers won't take the case, it is probably because you don't have a case to make...