That looks like a custom extended cab!!!
There have been a number of Parry Bodies shown in the literature. The pickup is common. I can't say I have seen a "Suburban" station wagon style, but the possibility makes sense.A "Parry Body Model A Ford" refers to a Ford Model A car that has been customized with a body manufactured by the company "Martin Parry," which was known for producing a variety of aftermarket bodies, including station wagon-style "Suburban" bodies, for the Model A chassis, often featuring unique features like enclosed tops and additional storage options.
I notice the unusual spare tire cover with that horizontal kind of flat on the top side.