lagomorph vs cony

lagomorph and cony both are nouns.

Word	Noun	Adjective	Verb	Adverb
lagomorph	Yes	No	No	No
cony	Yes	No	No	No

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

lagomorph: relative large gnawing animals; distinguished from rodents by having two pairs of upper incisors specialized for gnawing
cony: small short-eared burrowing mammal of rocky uplands of Asia and western North America

Other hyponyms of lagomorph include Duplicidentata, leporid, leporid mammal, coney, mouse hare, pika, rock rabbit.

lagomorph (noun)	cony (noun)
relative large gnawing animals; distinguished from rodents by having two pairs of upper incisors specialized for gnawing	any of various burrowing animals of the family Leporidae having long ears and short tails; some domesticated and raised for pets or food
	small short-eared burrowing mammal of rocky uplands of Asia and western North America
	any of several small ungulate mammals of Africa and Asia with rodent-like incisors and feet with hooflike toes