You can access your inpatient medical information online through our patient portal. ... Carondelet St. Mary's Hospital. 1601 W. St. Mary's Rd. Tucson, AZ 85745 Phone: (520) 872-1087 Fax: (520) 872-4976. Carondelet St. Joseph's Hospital. 350 N. Wilmot Blvd. Tucson, AZ 85711.