Upon closer inspection, it would appear that all three examples of presentation Mustangs ("Wings of Corry" + two from Martin's post) have names stencilled on the same thin section of cowling.
My semi-educated guess is that the NA paintshop simply painted multiple examples of that cowling section, and then Dzused (if "Dzused" wasn't an actual verb before, it is now!) the panels on-and-off for photo sessions on the same bird.
What are the odds that the same cowling section on the port side of "Wings of Cory" has a different name? Just turn the plane to make use of the natural lighting!
So...
The best one could probably hope for is finding other photos of the same olive drab Mustang with a variety of presentation names. Since none of them will probably have the serial #...seems like a dead end on securing an individual identity.