claim with your insurance. If you have liability only and you can prove the other car did not have insurance you should have a coverage called UMPD (uninsured motorist property damage) and that will cover your car up to 3500 dollar in Utah.(these are Utah laws).
Contact the police they should have her DL and personal info and they should follow up to see if she has insurance and issue a citation if she does not have insurance.
If your insurance does pay out on the wreck they will try and recover their money from the offending party, but that is a longshot in my experience. You will have to pay your deductible on either UMPD or Collision coverage and your company will reimburse that to you if they are able to recover the money from person at fault. Like I said don't hold your breath.
Whole situation sucks.
If your daughter has medical bills that would be covered first by PIP in Utah.
Let me know if you have any questions.