Capitalize State only when referring to one of the United States.
Rule VIII.—Adjectives and nouns derived from proper names are written with capitals.
Examples:—Jacksonian, New Yorker, Congressman (if Congress has a capital).
Names of countries and places, and adjectives derived from them.
Examples:—a German dictionary. The best Spanish wines.
But such words used in some other common way are not capitalized.
Examples:—morocco leather, russia leather, india rubber, plaster of paris, etc.
Rule IX.—Names of families and larger groups in natural history, and of genera, are written with capitals; also botanical specific names derived from proper names, and those that have formerly been genus-names, though zoölogical usage gives a small initial to every specific name.
Examples:—Asplenium Trichomanes (a fern). Menticirrhus americanus (a fish). Carya alba (a hickory tree).