The question here (or problem for that matter) is what is available for your '37 Plymouth as far as pieces/parts. Ford parts are a dime a dozen from the aftermarket but your Plymouth is another story. If this is a complete car, not butchered up, with all of it's interior parts, trim and mouldings I'd say you have a neat project but, if most of the hardware is gone you are going to run yourself ragged and spend a bunch of money just trying to make a complete car.
Do yourself a favor and take an inventory before buying the car. Building it is still a big job if you have all the parts. It becomes an impossibility for a novice if you don't...