false hair vs toupe

false hair and toupe both are nouns.

Word	Noun	Adjective	Verb	Adverb
false hair	Yes	No	No	No
toupe	Yes	No	No	No

As nouns, toupe is a hyponym of false hair; that is, toupe is a word with a more specific, narrower meaning than false hair:

false hair: a covering or bunch of human or artificial hair used for disguise or adornment
toupe: a small hairpiece to cover partial baldness

Other hyponyms of false hair include Afro-wig, switch, toupee, wig.

false hair (noun)	toupe (noun)
a covering or bunch of human or artificial hair used for disguise or adornment	a small hairpiece to cover partial baldness