RN, Full-time or Part-time On-Call Weekends. Hospice Care of Middletown. Hospice Care of Middletown is a non-profit, community based hospice whose mission is to enhance quality of life, maintain dignity, and provide comfort in life’s final stages. We are currently seeking a. Registered Nurse to work Full-time or Part-time. as an On-Call Nurse for weekend coverage. As a hospice nurse, you will participate in providing end of life care for your pat...