Home>Choose State>Cities in New York>Institutions in Norwich>Community Bank Locations in Norwich Community Bank Branch Locations in Norwich, NY 1. Community Bank - Norwich City Branch 18 South Broad Street, Norwich, NY 13815 (607) 334-2277 View Branch 2. Community Bank - Norwich Branch 4837 State Highway 23, Norwich, NY 13815 (607) 336-7344 View Branch