Stratford VNA CT & Care Connection, Home Care Agencies of Choice for Southern CT. Full Service, Independent, Non-Profit • Innovative, Skilled Staff, Satisfied Patients. The non-profit Stratford Visiting Nurse Association is a home health care organization that has served Stratford and other area towns in Fairfield and New Haven counties since 1919. Care Connection by Stratford VNA offers non-medical home care held to a higher standard.