It appears you may be missing the metal inserts for the screws. Or maybe you got an earlier glovebox liner that attaches differently. Jim Carter Lists a 47-49 liner and the notes say "Uses an inside metal band to secure it to opening in dash." Here's photos of my original '51 glove box and replacement. Note that the replacement indicates '50-'53.
Kevin 1951 Chevy 3100 work truck Follow this saga in Project Journal Photos 1929 Ford pickup restored from the ground up. | 1929 Ford Special Coupe (First car) Busting rust since the mid-60's If you're smart enough to take it apart, you darn well better be smart enough to put it back together.