My 911 is run by the county, not the state. Except for very small states, I can't see a 911 system being statewide because it would be too big and bulky with far too many public safety units. States may help counties/municipalities/districts with their 911 systems, but I'd be surprised if there are statewide systems. (If there are, please share details).
I don't understand what you mean. AFAIK, everything about 911 is owned and operated by the govt, not the local phoneco. The local phoneco may provide the incoming lines, ANI, and the number-address translation table, but that's it.
I will note that years ago Bell System operators acted as unofficial "911" front ends in that subscribers were instructed they could tell the 0-operator the details of an emergency if they couldn't stay on the line. The Bell System was once very proud of their operators who assisted in emergencies and publicized it. Now of course they do everything to discourage people from dialing 0 for any reason.