UAB Medicine Urology East Clinic. 470 Taylor Road. Suite 201. Montgomery, AL 36117 (334) 613-7070 for an appointment. We also have a clinic on the main campus of Baptist South located at . UAB Multispecialty Clinic at Baptist Health. 2119 East South Boulevard - 2nd floor. Montgomery, AL 36116 (334) 613-7070 for an appointment..