CREATE TABLE table_46120 ("School" TEXT, "Location" TEXT, "Founded" FLOAT, "Affiliation" TEXT, "Nickname" TEXT)

What school has a public nickname, founded after 1838 in Harrisonburg, Va?
SELECT "Nickname" FROM table_46120 WHERE "Affiliation" = 'public' AND "Founded" > '1838' AND "Location" = 'harrisonburg, va'
SELECT "Nickname" FROM "table_46120" WHERE "Affiliation" = 'public' AND "Founded" > '1838' AND "Location" = 'harrisonburg, va'