Overview. Hello humankindness. . Located conveniently in the heart of. Phoenix, Arizona. St. Joseph's Hospital and Medical Center. is a 571-bed, not-for-profit hospital that provides a wide range of health, social and support services. Founded in 1895 by the Sisters of Mercy, St. Joseph's was the first hospital in the Phoenix area. More than. 125. years later, St. Joseph's remains dedicated to its mission of caring for the poor and underserved. ...