Once your insurance has paid, you are responsible for the rest.
When you cause an accident that damages another vehicle or hurts someone
You are the one legally in the care, custody, and control of the vehicle and therefore are the one who will be cited for driving without insurance. This is just the beginning of your trouble though. If you were at fault, you are also responsible for the damages done in the accident which may include injuries and damages to the vehicle you hit.
Nothing happens if a person that hits someone in their vehicle and their insurance is covered through another state than the accident happened at. Car insurance companies will pay for damages no matter where they happen at.
Usually, if the driver had the owner's permission to drive. What happens if the car is owned by the person that has the accident but the insurance is in your name? However you no longer want to be in that relationship or to have to pay that insurance?
You guessed it!
Well Someone will sue you and the insurance will do something about it!
When someone causes an accident and he has no insurance, he is liable to pay for the damages out of his own pocket. Some of the costs may be too much to bear and that is why people are better off having insurance.
Your insurance policy most likely has a clause that protects you up to a certin amount if you are in an accident with an uninsured driver. You can also hire a lawer and sue the other driver for any damages (along with lawer and court fees).
The only thing you can do is pay for all your damages out of pocket. After all it was your decision to drive without insurance.
When you allow someone to drive your car, you are giving them the coverage of your insurance. If they were to get into an accident, your policy would pay first.
Liability insurance pays for someone else's damages if an accident is your fault but won't cover your vehicle. Full coverage provides liability insurance as above but will also cover your damages to your own vehicle in an accident regardless of whose at fault, as well as theft, fire, etc.
If someone is seeking damages from an injury as a result of an auto accident and they are not satisfied with the offer from the insurance company I would suggest that a lawyer be consulted.