I looked at your engine pic. It has been repowered; looks like a 235. It is definitely a 1-ton, though. 137" wheelbase, 9' box, 4 stake pockets per side.
The lady's car hit the front of my old truck, which was a '53 1/2-ton. Epic #2 is heavier, and shall be a harder target for the next nit-wit.
My transmission has its 4 gears in the standard "H" pattern, with the reverse sprung to the left and back, beside 2nd. 1st is a granny gear, useful for pulling stumps, or pacing a combine. I haven't heard of a 3-speed with the floor shifter in a 3800, but I suppose it could be something early.