Jacksonville and St. Augustine's premier and most affordable private-duty home care company. No contracts or deposits required. Griswold Home Care is the nation's oldest non-medical home care company. We follow a simple rule, treating clients well with simple rates and no up-charge for different times of the day or different levels of care. Non-Medical In home care, Elderly Care, General Home Care, Alzheimers and Dementia Care, Adult Sitter Care.