mouse hare vs lagomorph

mouse hare and lagomorph both are nouns.

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

As nouns, lagomorph is a hypernym of mouse hare; that is, lagomorph is a word with a broader meaning than mouse hare:

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

Other hypernyms of mouse hare include gnawing mammal.

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