cookstove vs kitchen stove

cookstove and kitchen stove both are nouns.

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

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

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

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

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