ahhh I see now. Prior to this I thought you just wanted to remove a search box from the page?
Is the functionality of the page working correctly? or is this an error where we need to find the source of the error and correct that?
You image shows either 2 or 3 search boxes (depending what is to the right of HOME in the title bar). Have you installed any plugins? especially SEO or search related? What happens if you disable them one by one and watch for behavior changes?
There's a couple Dreamhost staff members that post here that can try to find your site and perhaps explain what's going on, the rest of us are customers just like you that don't have a way to find what you're working on. If you could give us the URL of the site so we can duplicate this we may be able to help further. Alot of clues can be gained from scanning page source, watching the page load cycle with a tool like firebug, and even just being able to see what's displayed in the url bar.