St. Louis Children's Hospital 1 Childrens Place St. Louis, MO 63110 Fax: 314-454-4633 Appointments: 314-454-2076. Barnes-Jewish Hospital 1 Barnes Jewish Hospital Plaza St. Louis, MO 63110. Missouri Baptist Medical Center 3015 North Ballas Road St. Louis, MO 63131. Progress West Hospital 2 Progress Point Parkway O'Fallon, MO 63368..