Yes, there have been women with beards. Some women have naturally occurring beards due to the condition known as hirsutism or hypertrichosis, which causes people of either sex to develop excess hair over their entire body, including the face. Notable examples were the famous bearded ladies of the circus sideshows of the 19th and early 20th centuries, such as Barnum's Josephine Clofullia and Ringling Bros.' Jane Barnell, whose anomalies were celebrated.