Not sure about the 37's, but the 40's Chevies shared a lot of common or similar parts to the other GM cars. The key is that the some of the GM's had "large" and "small" cars while the Chevies had one basic body size. I think it was tied to whether the GM car in question had a straight 6 or a straight 8. It always seems to me the "large" cars have really long noses.
I know my 41 Chevy has a 41-48 Buick trunk lid on it.
Get a notebook. Measure as many points as you can. Frame mount to frame mount fore and aft, left to right, and diagonal. Wheelbase, track width, and so on. Then, you have to decide what you can modify if you need to.
Post some photos.