Hit and Run accident: What should be done?

My mother came home from work yesterday and tells me that someone hit her car and left while she was at work and then drove off (she works at a hospital and her car was in the parking garage). She didn't see the accident, she just saw the damages on her car and it was obvious it was a hit and run. I asked her why she didn't call the police and she said she didn't want anything to go on her insurance. She has a really good driving record and she thinks they are going to hold the accident against her even though it was a hit and run. She says that they can say she "parks in areas that are unsafe". She works in Aventura, FL... which is right near Miami, FL. Not the safest... but still. I then suggested calling hospital security, and she did, but they were already gone by that time. So she's back at work today, and I don't know if she's talked to anyone. But anyway,what should be done? Can we still call the police? Would they be able to find out who did it by looking at the garage video cameras? If they did find out who did it, would my mom's insurance still have it on record as her "getting into an accident"?