Are your insurance company aware?
Where the police involved?
If you are fully insured then your insurance company can claim for the money from the the Motor Insurance Bureau. (think thats the name).
They have a set up that means a percentage of all premiums go to them and in the event of an un-insured driver causing an accident, as in your case, this is where the money comes from to pay the damages.
This is why, as more idiots drive un-insured, every other person has to pay more on their premium to cover it.