How do you remove grill in 1937 Chevrolet?

I am not familiar with a 37 Chevy but from experience with my 1970 Ford I would suggest you just look for bolts around the edges of the grille and even on brackets in the middle, if there are none it is likely welded in and you will need to cut it with a dremmel/cutting wheel or a plasma cutter (or comperable cutting tool). I would suggest the plasma just because it will be a much easier process and a cleaner cut