I'd start with your home state and see what options they may be able to offer. I'd be (pleasantly, surprised if a title that old could be found given the transition from "live" document storage to computer systems and the many different software/hardware changes any state has gone through. As an example, my godfather, in upstate New York, gave me a 1971, R75/5 that his daughter gave him as a gift from a seller in California. My godfather never registered the bike and it had been stored by him for about 8 years. When I picked up the BMW it came with a California title, but when I went to re-title it the wunderkind in the Massachusetts DMV said it was too old and that they could not verify the CA title. I used to find people for a living when I was doing software recruiting; it didn't take to long to find the seller, who works at Google, of all places. I explained the situation and sent him a California replacement title form along with a money order and an addressed envelope, all he would have to do is sign the form, enclose the money order and send it off. Bottom line was that CA had changed the IT environment so many times that they couldn't find the title.
I was bitching about this to a friend that owns a dealership who, in essence, washed the title into his inventory and "sold" it back to me.
There are many ways to get this done. I have used Vermont and I have friends all over the states that I can sell to, they register the motorcycle and sell it back to me. Some state's DMVs want to physically see the machine, some don't. I checked into a few title services and they charge high fees and usually use Vermont. The "call-on-a-friend" costs me about $300, Vermont's fees depend on what they charge for sales tax, but cost me about $250, the down side is that they want the VIN verified by a local LEO, then want a letter from his/her department saying that he/she is a bonafide member of that department, which one was willing to do and one was not.
Not that is applies in your case, but I strongly suggest that anyone buying a vehicle with or with a title call your local PD and have them run the VIN before you shell out any money. Additionally, and as a courtesy, call them before you lock-and-load so they have a heads up.
Best.