Chapa was a member of the Single Front Pro-Women's Rights (FUPDM) together with Dr. Matilde Rodriguez Cabo.[4] Drs. Chapa and Cabo became acquainted with one another while in medical school and created reforms to assist in prisons, prostitution, and welfare for women and children.[4] Cabo and Chapa together created the Frente Unico (Single Front in Mexico) in 1935.[2] In order to investigate the issues mentioned, Chapa and a few other women created the "Leona Vicarío" for the study of the particular issues of Mexican families and the "status of a woman as mother and wife".[4]