Here's the latest information from siteground:
Actually, the issue is caused by the fact that all your WordPress files are in a subdirectory named /wordpress, whereas the blog is being accessed via your domain name only, since the script's index is in your main directory. This makes the WordPress and mod_rewrite recognize the rewrite base as your domain name only instead of cjbonline.org/wordpress, which is resulting in the issue.
However, mod_rewrite and WordPress permalinks are working just fine on our servers as you can see from the test installation I have performed here:
The sample permalink with the default Hello World article is:
If you wish, we can move all your WordPress files in the main directory of your account, which will fix the Permalinks issue. Please advise if this is suitable for you.
I don't agree with them that moving the wordpress support files to the main directory is going to help. I have it set up in /wordpress/.
Can anyone else suggest something? I have gone through all the Codex suport files for what is there.