footlights vs theater light

footlights and theater light both are nouns.

Word	Noun	Adjective	Verb	Adverb
footlights	Yes	No	No	No
theater light	Yes	No	No	No

As nouns, theater light is a hypernym of footlights; that is, theater light is a word with a broader meaning than footlights:

footlights: theater light at the front of a stage that illuminate the set and actors
theater light: any of various lights used in a theater

footlights (noun)	theater light (noun)
theater light at the front of a stage that illuminate the set and actors	any of various lights used in a theater