Address. University of Maryland Medical Center 22. S. Greene St. Baltimore, MD 21201-1595 [Get directions]Important Phone Numbers. General Information (main hospital number): 410-328-8667 Inquire about a patient's condition: 410-328-6971 Inquire about a Shock Trauma patient: 410-328-3697 or 410-328-9284 To share a patient experience, please contact our patient advocates: 410-328-8777..