Country of Origin Healthcare Accountability Act - Requires that $250 million of foreign aid funds appropriated under the Foreign Assistance Act of 1961 be made available to the Secretary of Health and Human Services to make allotments to States for eligible providers for unreimbursable costs incurred by providing emergency health care services to: (1) undocumented aliens; (2) aliens who have been paroled into the United States at a U.S. port of entry for the purpose of receiving eligible services; and (3) Mexican citizens permitted to enter the United States for not more than 72 hours under the authority of biometric machine readable border crossing identification card.