Thanks for the responses, folks.
I returned from being out of town last night...and head out again tomorrow morning, so it will be at least another week before I can apply any of this information to my truck, but it does seem to nail down that I have a '37-'39 bed.
The cab is a 1940 as indicated by the data tag on it and the dash, and since the wheelbase is 115" it SEEMS to be safe to assume that the chassis is a '41-'46. Were there differences between the frame or other chassis components during those years?
Any suggestions for the minimum distance between the front of the bed and the back of the cab?
(I want to state for the record, that the Stovebolt forum has been of immeasurable help to me already, so thanks to all!)
Nick