mountain lily vs Mount Cook lily

mountain lily and Mount Cook lily both are nouns.

Word	Noun	Adjective	Verb	Adverb
mountain lily	Yes	No	No	No
Mount Cook lily	Yes	No	No	No

As nouns, mountain lily and Mount Cook lily are synonyms defined as:

mountain lily and Mount Cook lily: showy white-flowered perennial of New Zealand

Other synonyms of mountain lily include Ranunculus lyalii.

mountain lily (noun)	Mount Cook lily (noun)
Japanese lily with golden rays	showy white-flowered perennial of New Zealand
showy white-flowered perennial of New Zealand