remove the license plate and reach up through that opening. Corvettes weren't designed to be easy to work on.
Change brake light bulbs Just remove the rear license plate. You can change the backup lights and brake light easily.
Sounds like it may have been replaced at one point with an inferior piece.
I found under the drivers dash on the brake pedal the brake light switch to be faulty. It can operate the tail lights but not the center brake light replace it. This was the case on my 90 vette.
Change the bulb and check to see if it's not grounding out.
just above the brake peddle
back side of the brake pedal
underneath the brake pedal
It is on a bracket, just above the brake pedal.
== == how do you reset the oil light on a1992 corvette
remove tail light and reach through
It is under the dash, just above the brake pedal.
It is mounted on bracket just above the brake pedal.