hatcheck girl vs checker

hatcheck girl and checker both are nouns.

Word	Noun	Adjective	Verb	Adverb
hatcheck girl	Yes	No	No	No
checker	Yes	No	Yes	No

As nouns, checker is a hypernym of hatcheck girl; that is, checker is a word with a broader meaning than hatcheck girl:

hatcheck girl (noun)	checker (noun)
a female checker	one of the flat round pieces used in playing the game of checkers
	one who checks the correctness of something
	an attendant who checks coats or baggage

hatcheck girl (verb)	checker (verb)
	variegate with different colors, shades, or patterns
	mark into squares or draw squares on; draw crossed lines on