hit by someone who lied on police report

I was hit by someone rounding a corner in a parking lot. I was slowly approaching the turn because I knew of the icy conditions and the blind spot that the parking lot has at this particular corner. She t-boned me and bashed my car door in.

I didn't immediately call the police until I got home because I didn't have my license at the time, living only a block away and I thought it would have been a bigger deal than what I thought--mistake.

She LIED on the police report stating that I was going to fast around the corner. I also have a witness that was sitting in the passenger seat in my car. So the police report files NO FAULT on the report and I live in KS where it's a no fault state, and the insurance isn't going to pay it because it's listed as no one.

Now I am in the process of filing a small claims against her.

MY QUESTION IS: since she is a college student, her insurance is under her parents name. Do I place ALL of them to appear in court, just her parents, or just her?? I want to go after the person who is responsible. She was driving, yet her parents are listed as the insurance carriers.

Thanks for very much for your answers.

Name them all and they can fight it out.