lagomorph vs mouse hare

lagomorph and mouse hare both are nouns.

Word	Noun	Adjective	Verb	Adverb
lagomorph	Yes	No	No	No
mouse hare	Yes	No	No	No

As nouns, mouse hare is a hyponym of lagomorph; that is, mouse hare 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
mouse hare: small short-eared burrowing mammal of rocky uplands of Asia and western North America

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

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