cochineal vs dyestuff

cochineal and dyestuff both are nouns.

Word	Noun	Adjective	Verb	Adverb
cochineal	Yes	No	No	No
dyestuff	Yes	No	No	No

As nouns, dyestuff is a hypernym of cochineal; that is, dyestuff is a word with a broader meaning than cochineal:

cochineal: a red dyestuff consisting of dried bodies of female cochineal insects
dyestuff: a usually soluble substance for staining or coloring e.g. fabrics or hair

Other hypernyms of cochineal include dye.

cochineal (noun)	dyestuff (noun)
Mexican red scale insect that feeds on cacti; the source of a red dye	a usually soluble substance for staining or coloring e.g. fabrics or hair
a red dyestuff consisting of dried bodies of female cochineal insects