As far as I know, grille is the same on all models for these cars, but changes every year.
Cheese #1: 1949 Chrysler
Not entirely correct - on coupe models, the chrome strip that bisects the grille horizontally extends around the front fender, ending ahead of the wheel opening. On sedans, the strip terminated below the marker llight.
In the context of this puzzle (wherein the terminus of the chrome strip cannot be seen), your assertion is correct, and I'll waive the 'model designation' requirement.
Cheese #4:1958 Oldsmobile
Yep!
Cheese #6: 1951 Studebaker
Yep!
Cheese #9: 1958 Chevrolet
Yep!
Cheese #10: Lincoln Navigator circa 2005
It's an '07, but I didn't ask for the year, so, no matter.
Cheese #13: 1957 DeSoto
Yep!
Cheese #14: 1957 Cadillac Eldorado
It's an '58, but I didn't ask for the year, so, no matter.