Bingaman had a relationship with a free black woman, Mary E. Williams, and may have fathered as many as six children: Frances Ann, wife of Pryor; Cordelia, Emilie, Marie Sophie Charlotte, James and Henriette.
Bingaman had a romantic connection with an unattached African American woman, Mary E. Williams, and may have become the father of up to six children: Frances Ann, wife of Pryor; Cordelia, Emilie, Marie Sophie Charlotte, James and Henriette.