"Family care facility" means a facility which provides room and board, personal care and continuous twenty-four hour a day on-site adult supervision for up to six individuals, exclusive of staff, who are mentally retarded, developmentally disabled, physically handicapped or aged (over sixty years of age) persons, who are able to be integrated into a family type setting and who do not require institutional care or treatment. This category is licensed by and/or has accountability to a governmental agency for the clientele served. This category does not include nursing homes, hospitals, rest homes, boarding or lodging houses, homes with up to three foster children, half-way houses for individuals released from incarceration, or facilities for drug abuse rehabilitation programs.