Bernard W. Graham (February 10, 1863– October 30, 1886) was an American Major League Baseball player who played one season in the Union Association. The Association lasted just one season, 1884, and Graham played one game for the Chicago Browns and 41 for the Baltimore Monumentals. He batted .267 for the year, scored 23 runs, and hit 11 doubles. Graham died at the age of 23 in Mobile, Alabama from typhoid fever, and is interred at Catholic Cemetery in Mobile / Catholic Cemetery, Beloit, Rock County, Wisconsin.