coach-and-four vs carriage

coach-and-four and carriage both are nouns.

Word	Noun	Adjective	Verb	Adverb
coach-and-four	Yes	No	No	No
carriage	Yes	No	No	No

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

Other hypernyms of coach-and-four include equipage, rig.

coach-and-four (noun)	carriage (noun)
a carriage pulled by four horses with one driver	a vehicle with wheels drawn by one or more horses
	a railcar where passengers ride
	a machine part that carries something else
	a small vehicle with four wheels in which a baby or child is pushed around
	characteristic way of bearing one's body