[blucar]

I reviewed the pix 37flat attached, noted that the core was leaning forward, also noted the position of the upper hoses... Reviewing the upper outlets on my tank you will note that they slightly turn down. I also noted the pix that the fill neck does not protrude through the shell allowing clearance for a '37 cap to attach. I also noted that the '37 grille shell has hood latch brackets attached to it, which is correct.

The radiator in the truck has hood latch brackets attached to the core support and the shell. I think the radiator in the truck is a '35-36..
I know that the radiator I have fits a '37 pickup, I had it mounted and running on my '37, the problem was when I tried to put the shell on, the forward location of the fill neck and the shroud fins conflicted with the shell.
Many years ago I had considerable experience with '35-36 & '37 pickups, did an off the chassis on a '37 pickup. The '37's are kind of a stand alone deal, similar to a '36, but not interchangeable. The '38-39 are basically the same truck, that is have the same grille, front end/cab.
I have always thought that the radiator I have is for a '37 V8 60, a '37 grille shell will fit the radiator if the radiator is set back in the shell. I would have to assume that Ford had a mounting plate of some type in the chassis to attache the core support to and the front motor mounts of the V8 60.