I looked through the Andrew Booth compendium of Confederate soldiers and the National Park Service listing and could not find a S, H. Dexter. The Silas mentioned in the newspaper is possibly Silas Grismore. See Art Bergeron's book, "The Civil War Reminiscences of Major Silas T. Grismore." Silas Grismore was from Thibodeaux.

Hope this helps

Don Parker