Access to Obstetrical Care Act of 1991 - Requires the Secretary of Health and Human Services to provide for demonstration projects to reduce infant mortality by improving access in underserved areas to obstetric services for eligible pregnant women under title XIX (Medicaid) of the Social Security Act.

Amends the Public Health Service Act to: (1) deem any officer, employee, or contractor of an entity receiving Federal funds, under provisions relating to migrant and community health centers and health services for the homeless, and who is a licensed health care practitioner to be an employee of the Public Health Service; and (2) subrogate to the United States any medical malpractice claim of such employee. Requires such entities to take certain actions regarding malpractice.

Directs the Secretary of Health and Human Services to: (1) develop and make available to the public each year a compendium of State initiatives to address the obstetric access crisis; and (2) provide funding for a study, and report to the Congress on, obstetrical malpractice claims payment by Medicaid and private insurance companies.