Morris Heights Health Center | 2,917 followers on LinkedIn. The Caring Place | Since 1981, Morris Heights Health Center (MHHC) has had a record of distinction as the major provider of health care to Morris Heights and the surrounding areas. Born out of the local need for quality care, MHHC is a non-profit organization funded by federal, state, and foundation grants as well as private and corporate donors. For over a quarter of a century, we've provided quality primary health care services to all members of the community, including the medically, socially, and economically disadvantaged.