Icon / Health Services Created with Sketch. Uniontown Health Center Our mission is to provide quality primary and preventative healthcare services while offering an exceptional customer experience at an affordable cost, throughout the Black Belt Region. Location: 330 Old Hamburg Road, Uniontown, AL, 36786 Icon / Website Created with Sketch. Visit Website Icon / Ages Created with Sketch. Ages served: Icon / Languages Created with Sketch. Languages spoken: English Icon / Navigation Created with Sketch. Locations served: Perry County Icon / Email and Phone Created with Sketch. Contact info: (334) 628-2651