Adorable top picture, but if that's where I think it is (White Sands National Monument), that little Falcon was sure earning its living and must have been a real barrel of monkeys if the wind was blowing!
I'm guessing was an I6 model, which in those days meant 144 cubes standard, 170 optional, and four main bearings—more a future legend than a fully realized one. I can't tell if the car has Sprint badging, indicating the laat-half-year option of a 260 V8.
I once drove up San Augustin Pass in a Comet with the 144 and a two-speed Slush-o-Matic, which admittedly is sandbagging the problem, but even without a trailer on, it was... an exercise in patience.