Elizabeth A. Connelly Act - Amends the Higher Education Act of 1965, the Elementary and Secondary Education Act of 1965, the Rehabilitation Act of 1973, the Public Health Service Act, the Health Professions Education Partnership Act of 1968, the National Sickle Cell Anemia Act, Cooley's Anemia, Tay-Sachs, and Genetic Diseases Act, the Genetic Information Nondiscrimination Act, the Developmental Disabilities Assistance and Bill of Rights Act of 2000, and other federal enactments and regulations to change references to mental retardation to references to an intellectual disability.