My name is the only name on the car my wife drives. If she were to get in an accident and got sued. Would they be able to sue me also? Thank You

Under Michigan law the owner of a vehicle is liable for an accident involving the vehicle as long as it is being driven with thwe express and or implied consent of the owner. Consent is presumed if it is driven by a family member.

Sherwin Schreier, memeber of Michigan Bar

Yes.  This is why you buy auto insurance on the car, not the person.  However, it is probably essential that the insurance company knows that your wife drives the car regularly (you should have given them this information when you applied for the insurance originally);  if it doesn't show your wife on the "declarations" page of your policy, you need to get in touch with the insurance company or your agent right away.  I'm not a Michigan attorney, but in most states, that's essential for your wife to be covered, other than as an "incidental" driver (for example, driving your car while hers was in the shop, if she had a separate policy for her car).