Rory Murphy, MD. Neurosurgeon. Brain and Spine Surgery. (623) 562-5050. Fax: (623) 562-5051. Get a Second Opinion. Accepting New Patients. Rory Murphy, MD, is a neurosurgeon in the Department of Neurosurgery at Barrow Neurological Institute. Dr. Murphy's clinical practice focuses on complex cranial and spinal pathologies including tumors ....