The short answer is that you are both liable. Since you don't have your own car insurance you should probably consult with, or retain, an attorney as soon as possible.
Licensed in MD, PA and DC. This is not legal advice. I am not your attorney. You should consult with an attorney licensed to practice in your jurisdiction regarding your specific circumstances.
There seems to be two separate issues here. One is the criminal matter which could result in a citation for operating a vehicle that has no insurance.
The other issue is one of who is liable for the property damage to both vehicles and physical injury to the other driver. As the driver, you are always responsible for your actions and could be liable for both. As the owner of the vehicle, she also may be liable for some of the damages; however with the facts presented, it is not clear on that.
If you were at fault you are going to be liable for the resulting injury or damage that you caused. Not having insurance only limits your collectibility and not your liability. It really is not relevant if you knew or did not know there was insurance on the vehicle.
Sign up to receive a 3-part series of useful information and advice about personal injury law.