First Harrison Bank, Salem Branch Basic Info Reviews Routing Numbers Map & Direction Name: First Harrison Bank, Salem Branch Main Office: No Service: Full Service Brick and Mortar Office Location: 1312 Jackson Street Salem, Indiana 47167 Washington County View other branches Phone: 812-883-8300 Please enable JavaScript to view the comments powered by Disqus. Routing NumberProcess ACH TransferProcess Wire Transfer083901414YN083913033YY From: To: