It is not a car made by any mass production factory in the US, like Nash, Kaiser, Cord, Hudson, GM, Ford/Lincoln, Chrysler. Mark is more on the money......someone put the car together from parts...could be a special like many are customized in California, Barris(s), I believe was one of the more famous ones in the 50's/60's. Remember some of the autos put together in Canada, caused me to take a second look, as they were an American auto with a customized and different look. Australia has some that I see in movies, probably bought from Canada, or they customized themselves.
Not a Nash...my brother had one of those problem cars, and I paid attention to their different models/production. The only thing they had going for them in their day was the lay down of seats for sleeping/camping....good on dates.
As also hinted, it is probably a foreign made and put together.
PS..I still believe the best looking and most advance auto of its time was the Tucker. My Dad took me to see one on display in 1948, and I remember one passing us going to Houston on Hwy 90, with a flashing sign on the rear that stated, "You have just been passed by a Tucker".
The Tucker had a rear-mounted air-cooled engine, independent four-wheel suspension, and several automobile safety features, including a pop-out windshield, a steerable front light to see better while turning, and whoever heard of disc brakes, seatbelts, and a padded dashboard. It was way ahead of its time, as many of these innovations have been incorporated into modern cars.