The state has fined six nursing homes for various violations that jeopardized patient safety, including one in which a resident was struck by a nurse and others that resulted in residents suffering broken bones. The Nathaniel Witherell in Greenwich was fined $1,940 for two instances, the state Department of Public Health (DPH) said. On March 24, a resident with Parkinson’s disease, dementia and other diagnoses suffered a broken collarbone and broken right hip after falling onto the floor in a bathroom. The resident required supervision for standing and transfers, but a nurse aide left the resident alone for privacy, according to DPH. The resident was treated at local hospital.