Yes, it's theme twenty twelve, and it does kinda have two headers. The site title above the menu, and a banner below it. After thinking about it for a while, I decided the site title would just be there for the search engines. That's why it's kind of small and pale. I didn't want it to push the actual page body any lower in the browser window than necessary, and I decided I didn't really want it to attract the site visitors' attention away from the main content.
Putting the banner at the very top would've been ideal, but I couldn't find a way to get theme twenty twelve to let me do that.
Do I maybe need to re-think?