cookstove vs cooking stove

cookstove and cooking stove both are nouns.

Word	Noun	Adjective	Verb	Adverb
cookstove	Yes	No	No	No
cooking stove	Yes	No	No	No

As nouns, cooking stove is a hypernym of cookstove; that is, cooking stove is a word with a broader meaning than cookstove:

cookstove: a stove for cooking (especially a wood- or coal-burning kitchen stove)
cooking stove: a kitchen appliance used for cooking food

Other hypernyms of cookstove include kitchen range, kitchen stove, range, stove.

cookstove (noun)	cooking stove (noun)
a stove for cooking (especially a wood- or coal-burning kitchen stove)	a kitchen appliance used for cooking food