home fries vs potato

home fries and potato both are nouns.

Word	Noun	Adjective	Verb	Adverb
home fries	Yes	No	No	No
potato	Yes	No	No	No

As nouns, potato is a hypernym of home fries; that is, potato is a word with a broader meaning than home fries:

Other hypernyms of home fries include Irish potato, murphy, spud, tater, white potato.

home fries (noun)	potato (noun)
sliced pieces of potato fried in a pan until brown and crisp	an edible tuber native to South America; a staple food of Ireland
	annual native to South America having underground stolons bearing edible starchy tubers; widely cultivated as a garden vegetable; vines are poisonous