Ogden was a staunch supporter of the White Citizens' Councils, a network of white supremacists. In 1962 she helped found Women for Constitutional Government, an organization born out of the Ole Miss riot of 1962, which occurred when the University of Mississippi decided to integrate. Ogden served as a keynote speaker at the organization's inaugural meeting in Jackson, which was attended by almost two thousand women. In her speech, Ogden called for a return to constitutional and judicial conservatism. The organization would later oppose the United States' participation in the United Nations and campaigned against the Equal Rights Amendment.