'32 fords have the number in 3 locations: on top of driver's side frame rail: 1. Anywhere between front crossmember and firewall but usually next to steering box. This is the only one you can see with the body on the frame. 2. About the half way point, under where the driver's seat would be, and 3. on the arch over the rear axle. If you have the original '32 trans case, the same number is stamped on the bell of the trans case above the clutch inspection window. Location varies some because the numbers were stamped by hand, and the clarity of the stamping depends on how hard the guy swung the hammer. Some are stamped very clearly, some are very faint and may take some effort to find. The serial number technically belongs to the engine/trans unit. When that engine/trans unit was bolted into a chassis, they literally had a guy there with a set of number stamps and a big hammer whose job was to copy the number off the bell of the trans onto the frame.
Watch out how you title it. If you get a VIN assigned to it, they will title it as a 2012 right now (i.e. the year the VIN was created).
The easiest way is to buy a title (or a registration from a state that only requires the registration). Arkansas comes to mind. And going in to your tax office with that. They will ask for the inspection papers and the VIN verification affidavit. You dont have to have the inspection papers if you do title only. Then once you have the title and get the car on the road you can go to the inspection, then go back to tax office to pay for registration.
Once you have papers, you can stamp your correct year VIN to match the papers. Go to the tax office and register. If its out of state papers you can do "title" only and get it inspected and what not before getting it registered but then you'll have the correct title.
You used to be able to buy Titles, Bills of Sale, Historical Documents and VIN plates on the HAMB. But they banned that late last year, not sure where aside from the big hot rod swap meets you can get them today. ANd expect to pay big bucks for a '32 title. same with '32 plates if you can run Year Of Make plates in your state.