CREATE TABLE table_19459 ("School Year" TEXT, "Class A" TEXT, "Class AA" TEXT, "Class AAA" TEXT, "Class AAAA" TEXT, "Class AAAAA" TEXT)

Name the class a for carthage
SELECT "Class A" FROM table_19459 WHERE "Class AAAA" = 'Carthage'
SELECT "Class A" FROM "table_19459" WHERE "Class AAAA" = 'Carthage'