IMHO there is a bit of confusion, lack of information, misinformation, and mis-interchange in both Ford parts books and some repro parts suppliers.
The pickup used a "teacup" style taillight bucket with the license plate below the light.
The license plate bracket is the same as 1929-31 Model A. The good USA one is made by Snyders, we handle it.
There were two possible taillight brackets. Pickups without bumpers likely used the same bracket as 1935-36 pickup (same LH and RH), 1937 pickups with bumpers likely used a bracket with an offset. Mack Products makes the 1935-36 and LH 1937 in steel, we make the 1935-36 in stainless and handle Mack's.
The taillight gets complicated. Ford seems to have used the same taillight for Pickups 1933-41 (possibly 1947) and Station Wagons 1933-40. This has the teacup body design (painted) of a 1929-31 taillight with two bulbs, the "duolight" facing up and the license lens facing down. The rim is similar to 1932 with no divider but has countersunk mounting screws (oval head) as opposed to the 1932 flat mounting with round head screws. The lens also was different in being convex as opposed to the 1932 lens being flat. The confusion exists in part because when the "Green Bible" came along Ford had run out of the "correct" taillights and substituted a later light based on the 1933-36 taillight (single centered bulb). No one sells a correct light, we come closer than most, however you could easily piece one together.