Well, that's exciting! No, the rental car companies don't verify ID against a DMV database... I'm not sure it's even technically possible for them to do so, especially when you factor in foreign driver's licenses. But that's the least of your concerns.

I have some experience in this, so here's where I would start: First, document EVERYTHING! This is a big deal, but it's also common enough that there are processes in place to help you unwind it all.

You need to figure out is how far this person has gone in taking over your identity, especially now that there's a missing car involved. If possible, you'll want to talk to the manager at the Hertz location where the car was rented. I would also amend your original, or file a second police report to note the the Hertz rental. When you do that, ask your local PD if it would behoove you to file a report with the police in the city where the unreturned Hertz car was rented. Get something IN WRITING from both Hertz and Enterprise that indicates their agreement that you're not responsible.

If you haven't already, pull all three of your credit reports and your ChexSystems report and put fraud alerts on all of them. You may even consider freezing them. It's possible they're using your identity to do more than just rent cars.

Congratulations on your new hobby. Hopefully you'll get it resolved quickly