My '36 1/2 had a '40-'47 steering box in it.
Not a direct bolt -in....the steering column wound up sticking up too straight, and put the steering wheel in the middle of the sight-line of the windshield.(It really looked like it didn't belong!)
The steering wheels and horn buttons are different too.....the older style ('32-'39) have a polished ring that's part of the steering wheel, around the perimeter of the soft rubber horn button, which has some springy gizmo molded into it...the '41-'47 wheel has a metal horn button with a threaded stud in the center which screws into a cup fastened to the wheel.
I think you might want to see about having the '37 steering gear rebuilt....or finding the correct unit (street rodders often give stock steering & running gear away); should be similar to '33-'36 car steering gear....
Just my thoughts....was looking for the "correct" gear for my '36 when that was an active project...the '41-'47 would never have worked-out right for me.
As to having it re-built, depends on whether you're patchin'-up or restoring and driving...if you're restoring and driving, better to clean, rebuild as needed, and re-lube now...
Good luck!
Frank McMullen