If you have their driver's license number or the license plate number from their car, you can call the Division of Motor Vehicles for your state to obtain insurance information. From there, follow that company's procedure for reporting a claim. You could report the loss to your own insurance carrier and even make a claim if you think the damages exceed your deductible. Your insurance company would then contact the insurance carrier for the other party and make a claim to recover any amounts they had paid you, including your deductible. This is called subrogation.