milk vs coconut milk

milk and coconut milk both are nouns.

Word	Noun	Adjective	Verb	Adverb
milk	Yes	No	Yes	No
coconut milk	Yes	No	No	No

As nouns, coconut milk is a hyponym of milk; that is, coconut milk is a word with a more specific, narrower meaning than milk:

Other hyponyms of milk include coconut water, coconut cream, soya milk, soybean milk, soymilk, formula.

milk (noun)	coconut milk (noun)
produced by mammary glands of female mammals for feeding their young	clear to whitish fluid from within a fresh coconut
a white nutritious liquid secreted by mammals and used as food by human beings	white liquid obtained from compressing fresh coconut meat
any of several nutritive milklike liquids

milk (verb)	coconut milk (verb)
take milk from female mammals
add milk to
exploit as much as possible