Is it just your driver's license & the rental car company or has she made other purchases or obtained credit in your name? Even if it's only related to your license & the car company treat it like any other ID Theft case in which credit & goods have been obtained fraudulently.
Yes, many people of ID theft often end up being arrested for warrants in their name for the actions perpetrated by the thief. If you haven't done so already contact the Florida Office of the Attorney General and obtain their Florida's Identity Theft Victim Kit (link below).
It takes a long time to clear ID Theft so start immediately!
Steps to take from your Attorney General:
Step 1 Report the incident to the fraud department of the three major credit bureaus.
Step 2 Contact the fraud department of each of your creditors.
Step 3 Contact your bank or financial institution.
Step 4 Report the incident to law enforcement.
Florida Attorney General - Identity Theft Victim Kit
According to the Federal Trade Commission, 1 in 6 Americans can expect to be victims of identity theft this year alone.
Identity thieves obtain their victims' personal information in various ways. They may steal mail from your mailbox or garbage can, look over your shoulder at the ATM machine, or steal information from your computer in a number off ways. Other thieves may use a technique called phishing, in which they send you fraudulent e-mails, requesting personal information. Another popular technique is offering a fake employment opportunity. In this case, the application you fill out for this "job" is actually all the personal information a thief needs to steal your identity.
Deter. Detect. Defend. Avoid ID Theft