Elmhurst Hospital in Queens, New York is one of the oldest in the state and serves one of its It's a public hospital, one of 11 operated by NYC Health and Hospitals, including Jacobi Medical Center in. Elmhurst Hospital Center offers excellent medical care for children, whether they're infants, adolescents, or somewhere in-between. We provide a full range of both primary care and specialty pediatric services. Learn more: Specialty Services. We provide outstanding medical care for several specialty services.