St. Louis, MO maternity homes

Can someone help me? Is Bethseda Hospital now ST University Hospital? B/M stayed with elderly couple within walking distant of hospital. She checked in on July 31, 1963 discharged on like Aug 2 then readmitted AUg 3 and baby girl KIMBERLEY born August 4th. Mom was discharged on the 13th. Birth parents from the St Louis area. Child was placed with Childrens Home Society ST Louis on that date.