Does the title of a car need to be is the same name as the person whose name that the insurance is in?

The basic question that you are asking here is if you can insure a car that you do not own, which is what your ex wife wants to do.  She wants you to be the registered owner while she insures the vehicle for travel for herself.  Now, this is technically insurance fraud so no attorney is going to advise you commit a crime.  But I can tell you that people insure cars that they do not own every day in a number of different ways.  And that it would NOT protect you as the registered owner if someone else was named on the policy.  So I would advise you to have insurance coverage as well. I think that you have a lot to discuss with your ex.  Good luck.