Lafayette vs La Fayette

Lafayette and La Fayette both are nouns.

Word	Noun	Adjective	Verb	Adverb
Lafayette	Yes	No	No	No
La Fayette	Yes	No	No	No

As nouns, Lafayette and La Fayette are synonyms defined as:

Lafayette and La Fayette: French soldier who served under George Washington in the American Revolution (1757-1834)

Other synonyms of Lafayette include Marie Joseph Paul Yves Roch Gilbert du Motier, Marquis de Lafayette.

Lafayette (noun)	La Fayette (noun)
a town in south central Louisiana; settled by Acadians	French soldier who served under George Washington in the American Revolution (1757-1834)
a university town in west central Indiana on the Wabash River
French soldier who served under George Washington in the American Revolution (1757-1834)