A stage crew was a group of people responsible for assembling and tearing down a play set.
In 2369, Beverly Crusher and the stage crew for Frame of Mind planned to take down the set the day after the last performance. Following William T. Riker's experience with the Tilonians, he decided to disassemble it himself that very night, believing he wouldn't be able to sleep if it was still up. (TNG: "Frame of Mind")