I would look into it at your office of motor vehicles. I know in Ontario, where I come from there is a couple of ways to get a new registration, including a rebuilt registration.
However, this does mean that if you do get something with a rebuilt title when you go to sell the vehicle the history report will likely tell the buyer that it is a rebuilt car.
But hey the car is over 30 years old, if someone had a similar car but the registration was somehow lost, there should be a way to re-register it
~adam