miniature fan palm vs lady palm

miniature fan palm and lady palm both are nouns.

Word	Noun	Adjective	Verb	Adverb
miniature fan palm	Yes	No	No	No
lady palm	Yes	No	No	No

As nouns, lady palm is a hypernym of miniature fan palm; that is, lady palm is a word with a broader meaning than miniature fan palm:

miniature fan palm: small graceful palm with reedlike stems and leaf bases clothed with loose coarse fibers
lady palm: any of several small palms of the genus Rhapis; cultivated as houseplants

miniature fan palm (noun)	lady palm (noun)
small graceful palm with reedlike stems and leaf bases clothed with loose coarse fibers	any of several small palms of the genus Rhapis; cultivated as houseplants