On actual '32 Ford roadsters, as built by Ford (the same is also true of Model A's '28-'31, Model T's from the 'teens through '27, there is a row of snaps which are actually screwed to the body molding behind the seat/seats where the top material attaches to the body around the bottom of the rear panels. There is no top bow back there, at the bottom of the top framing itself on stock versions--the molding there (originally filled with wood inside/underneath the sheet metal body shell) serves that purpose. Starting in 1933 on most cars, with larger body shells, roadster tops (along with cabriolet tops) started being folded into a "well" behind the seat, which by 1935 allowed the folded top to stow almost completely below the beltline of the body--just like convertible tops of the 40's out through the 70's (European cars were an exception to this, due to the widespread, traditional use of padded folding tops which took a lot more space to fold).
On the top fabric itself, the other half of those snaps isn't seen on roadster tops, and nor do they show on later phaetons--they are shielded by an overlying "flap" of fabric, which served to protect the snaps, and at least delay the deterioration of the underlying fabric holding the snap. You generally would not see those snaps on the body surface there either, as seldom did original owners completely remove the top from their cars, even though roadster and touring car/phaeton tops generally were easily removable from the body. AMT engraved those snaps on top of the body molding around the back of passenger compartment of their '29 Model A roadster.
Top boots on cars such as the Deuce roadster were almost like slip covers on upholstery, very much a bag-like affair which didn't fasten to the body shell itself, but rather were slipped over the folded top, and snapped along their opening area around the base of the folded top AWAY from the surface of the body, or were "tied" snugly by leather or canvas belting, with an ordinary buckle, just like a belt buckle (not a Ford practice though).
As roadsters got bodies with larger built-in trunks that approached and equaled the height of the tops of the doors, Ford installed "rails" on the tulip panel behind the top, looking for all the world as if they were "grab handles" to aid rumble seat passenger's entry into that cramped compartment. These started with the Model A roadster in 1928, and continued at least through 1932 on all roadsters, whether they had a rumble seat or simply a trunk compartment back there. Those "rails" were for the primary purpose of supporting the folded top OFF of the painted body surface--their use as grab handles was secondary. Those grab handles are on the chrome parts tree of the AMT '29 A Roadster, and have been on AMT '32 Ford roadster kit chrome trees as well.
Another note: While modern street rod folding top frames generally work in the same way as those built by Ford, Ford's rearmost top bows were made from channel steel, with wood fillers added, to which the top material was attached by upholstery tacks. That wooden filler shows just below the edge of the top fabric at the upper rear corners of the side "window" openings on stock Model A's and '32 Fords.