chicken drumstick vs drumstick

chicken drumstick and drumstick both are nouns.

Word	Noun	Adjective	Verb	Adverb
chicken drumstick	Yes	No	No	No
drumstick	Yes	No	No	No

As nouns, drumstick is a hypernym of chicken drumstick; that is, drumstick is a word with a broader meaning than chicken drumstick:

chicken drumstick (noun)	drumstick (noun)
the lower joint of the leg of a chicken	a stick used for playing a drum
	the lower joint of the leg of a fowl