Is cook county hospital free? For the past several years, the county health system has taken on a greater share of free care in the county, while other public and private hospitals provide less, state records show. Dr. Jay Shannon, CEO of the Cook County health system, said he believes hospitals are sending more uninsured patients his way.What is the address for cook county hospital? Cook County Hospital Contact Phone Number is : (312) 942-5000. and Address is Illinois Medical District, Chicago, Illinois, USA.Where is cook county hospital in illinois? The Cook County Hospital is known as The John H Stroger, Jr. Hospital of Cook County. It is a public teaching hospital located in Illinois Medical District, Chicago, Illinois, United States. The hospital is affiliated to Rush Medical College. It was founded in 1834 and It has total capacity 464 beds.What is cook county hospital? Cook County Hospital, now John H. Stroger, Jr. Hospital of Cook County, is a hospital located in the Near West Side area of the city of Chicago. In Fool Moon, Harry Dresden describes Cook County Hospital as a virtual city of its own inside Chicago as he is driving past it.