I am in Georgia, but to my knowledge, they still issue titles for cars of that vintage.
I have currently an TR 86, 87 models, a 65 AMC Marlin, and an orginal 82 GN which I have not yet transferred title.
But I suppose what you are asking is "will" Georgia issue a title on a bill of sale only, not if they issue or transfer titles for older vehicles.
I have heard Tennessee is a state where a lot of "title washing" occurs, as well as Mississippi.
But I have no direct knowledge of the hows and wheres of that sort of process.
But when I get a second, I can drop by my local County Tax office, which is who you go to process the paperwork, they then send off the title to the Ga State DMV.
I can ask that question of - if I only had a bill of sale.
I actually need to know as I have a 65 Marlin roller that has a bill of sale only.
It was going to be a parts car so I wasn't particularly worried about having a title.
Now, I know you can do more or less the same thing with a homemade trailer - you create a VIN, then apply for title.
Different, but similar to your situation