 BIRMINGHAM, Ala. and ODESSA, Texas, July 22, 2021 PRNewswire -- Encompass Health Corp. NYSE: EHC and Midland Memorial Hospital today announced that Medical Center Hospital of Odessa has become a joint owner of Encompass Health Rehabilitation Hospital of Midland Odessa, an 80-bed inpatient rehabilitation hospital that has served the Midland-Odessa region for 27 years. 