hackney carriage vs carriage

hackney carriage and carriage both are nouns.

Word	Noun	Adjective	Verb	Adverb
hackney carriage	Yes	No	No	No
carriage	Yes	No	No	No

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

Other hypernyms of hackney carriage include equipage, rig.

hackney carriage (noun)	carriage (noun)
a carriage for hire	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