Coach departed — players also this way? (5,4)

I believe the answer is:
stage left
'players also this way?' is the definition.
The answer and definition can be both locations as well as being singular nouns.
Perhaps you can see a link between them that I can't see?
'coach departed' is the wordplay.
'coach' becomes 'stage' (stagecoach).
'departed' becomes 'left' (to leave is to depart).
'stage'+'left'='STAGE LEFT'
Can you help me to learn more?
(Other definitions for stage left that I've seen before include "right to the house" , "One side of a theatre" , "on the prompt side" , "Coach once departed" , "actors direction" .)
