Daniel was re-elected governor in 1958 by a 7-1 margin over the Republican Edwin S. Mayer (1896-1963), a San Angelo sheep and goats owner who was twice a delegate for Dwight D. Eisenhower at the 1952 and 1956 Republican National Conventions. In 1960, Mayer was the only delegate at the national convention who abstained on the nomination of former U.S. Senator Henry Cabot Lodge, Jr., of Massachusetts as Richard Nixon's running mate.