Hmmm...not necessarily a road block, but tough.
Some say you might be able to ask your state Registry of Motor Vehicles and ask for a VIN search to see who had it registered in the state. If the original owner was not from the state, then it makes it much tougher. When you go through the car, look for receipts, etc. that may give you a clue as to where this car may have been owned.
I met the original owner of my car from paperwork given to me at the sale of my car and with some phone calls. Even know which dealer sold my car even though it's a Ford dealer now.
FYI: Your car origianlly looked like this, not sure what wheels though and probably not from the factory with a Go-Wing, but I could imagine that a Go-Wing could be dealer installed. No flip top gas lid either. Also your car would have the front and rear bunperettes, for 5mph crashes, from the factory. The car below I think is a '72.