Just an FYI for those interested...
I work for a private ambulance service in a major metropolitan area. We handle about 50% of the 911 calls in our area. The other 50% is handled by our competing service. When someone calls 911 in our area, they are first connected to the police department. When it is determined that they are calling about a medical emergency, they are patched through to one of the ambulance dispatch centers. It *is* possible to call our emergency dispatch center directly. If you check your local phone book, there should be a non-emergency number for your local ambulance service. In our case, this number is answered by an emergency medical dispatcher so emergency calls would be handled quicker than calling 911. Our dispatch center has caller ID, but I don't believe we have the capability of GPS location of the caller. That is one disadvantage to calling us direct vs using the 911 system. You have to know where you are or we can't find you.
One thing to note...in our system, when 911 is called for a medical emergency, the caller is patched to a medical dispatcher (the ambulance service). The 911 dispatcher stays on the line until the response priority is determined. Once the medical dispatcher prioritizes the call, the 911 dispatcher dispatches the medical first responders (police and fire department) who are often closer than the ambulance. Meanwhile, the ambulance dispatcher is sending the closest ambulance. Now, if someone calls our "non-emergency" line, the ambulance gets sent first, then the first-response agency is dispatched. This results in a faster response time for the ambulance, but not necessarily a faster response in general. Our MFR's are generally shooting for a 4 minute response time, while the ambulances are posted for a goal of 8 minutes. So, while your ride may arrive sooner by calling direct vs 911, your *help* might be delayed.
I would suggest storing the non-emergency numbers for both your local ambulance and police department into your cell phone if you are worried about your 911 call being "bounced around".