smoking carriage vs coach

smoking carriage and coach both are nouns.

Word	Noun	Adjective	Verb	Adverb
smoking carriage	Yes	No	No	No
coach	Yes	No	Yes	No

As nouns, coach is a hypernym of smoking carriage; that is, coach is a word with a broader meaning than smoking carriage:

Other hypernyms of smoking carriage include carriage, passenger car.

smoking carriage (noun)	coach (noun)
a passenger car for passengers who wish to smoke	a carriage pulled by four horses with one driver
	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

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