Actually this entry from SWLR Father Donald Hebert, states William was from the Mississippi River. (Other enries show his sibs Rebecca from Kentucky, Charles from Mobile, and Elizabeth from Augusta County, SC.)

HARRINGTON, William - of this parish; native of the river [Mississippi] (major son of Charles - inhabitant at la petite anse & Sally HECHLEY [probably ASHLEY]) m. 21 May 1822 Sally FARK - native of this parish (minor daughter of George - inhabitant at Vermillion & Dalila HARTGRAVE [HARGRAVE] alias Algrot Wits: Solomon MORGAN, Emile ROUSSILLON, Horatio DAVID, Louis DUSOUCHET. Fr. Gabriel ISABEY (SM Ch.: v.6, #296)