Where is boone hospital center? Boone Hospital Center. Boone Hospital Center is a 397-bed full service hospital located in Columbia, Mo. It is a regional referral center located in the center of the state.What is family health center? Family Health Centers, Inc. is a not-for-profit community health center that provides a variety of health care services regardless of a person’s health insurance status or ability to pay for services.What is boone clinic? The Boone Clinic building houses independent medical specialists who have agreed to work together to provide you the best possible health care. By working together in a single location we are able to offer a high level of sophistication and specialization, while still providing that important personal touch.