coach vs baseball coach

coach and baseball coach both are nouns.

Word	Noun	Adjective	Verb	Adverb
coach	Yes	No	Yes	No
baseball coach	Yes	No	No	No

As nouns, baseball coach is a hyponym of coach; that is, baseball coach is a word with a more specific, narrower meaning than coach:

coach (noun)	baseball coach (noun)
a carriage pulled by four horses with one driver	a coach of baseball players
a railcar where passengers ride
a vehicle carrying many passengers; used for public transport
a person who gives private instruction (as in singing, acting, etc.)
(sports) someone in charge of training an athlete or a team

coach (verb)	baseball coach (verb)
teach and supervise (someone); act as a trainer or coach (to), as in sports
drive or operate a coach or carriage