Gulf of Mexico vs Bay of Campeche

Gulf of Mexico and Bay of Campeche both are nouns.

Word	Noun	Adjective	Verb	Adverb
Gulf of Mexico	Yes	No	No	No
Bay of Campeche	Yes	No	No	No

Gulf of Mexico (noun)	Bay of Campeche (noun)
an arm of the Atlantic to the south of the United States and to the east of Mexico	a part of the Gulf of Mexico to the west of Yucatan