If this is only a broken bone, a fall for example, the Fire Dept. would not respond unless they happen to be in the area. During a fall or stroke, and ambulance a police officer will always respond. The ambulance to provide medical attention and the police officer to write up a report.
The only circumstance the Fire Dept. will show up is if theirs a fire, explosion, some kind of damage, or if the victim is trapped in or under something. In that case the Fire Dept. will handle the situation, provide first aid service, and pass the victim on to the medics.
In this case I assume their was a small fire and your neighbor was injured in some way.