Carney Hospital was a small for-profit community teaching hospital located in the Dorchester neighborhood of Boston, Massachusetts. It was owned and operated by Dallas-based Steward Health Care. The hospital had its beginnings in 1863 in South Boston. It was the first Catholic hospital in New England. Among its first patients were American Civil War soldiā¦Carney Hospital was a small for-profit community teaching hospital located in the Dorchester neighborhood of Boston, Massachusetts. It was owned and operated by Dallas-based Steward Health Care. The hospital had its beginnings in 1863 in South Boston. It was the first Catholic hospital in New England. Among its first patients were American Civil War soldiers. In 1892 a Carney Hospital team performed the first abdominal surgery in Boston.