17yr old owns her own car, not insured by the parent nor the child, lets other people (valid or not) use the vehicle. Am I as a parent responsible

Who has title to the car? A minor cannot legally enter into a contract so how was the car purchased? If the car is titled in your name, even though it was a car purchased for the exclusive use of your 17 year old, you can arguably be held responsible if there was an accident with the car and no one had insurance on it.