 He joined the Miami faculty in 1845 and among his more prominent students were Benjamin Harrison, David Swing, John Willock Noble and Whitelaw Reid.At Miami, he became a faculty member of Phi Delta Theta and was known affectionately as "Stoddy" and "the Little Wizard" by his students.Stoddard and his wife, Eliza lived in a historic home at 16 South Campus Avenue in Oxford where they raised their three daughters who graduated from the Oxford Female College.