Southside Bank, Cleburne Basic Info Reviews Routing Numbers Map & Direction Name: Southside Bank, Cleburne Main Office: No Service: Full Service Brick and Mortar Office Location: 1204 W. Henderson St Cleburne, Texas 76033 Johnson County View other branches Phone: 817-641-3905 Please enable JavaScript to view the comments powered by Disqus. Routing NumberProcess ACH TransferProcess Wire Transfer111923607YY111924237YY311981533YY From: To: