[Theme: Twenty Eleven] Inserting image next to seach box

Hi everyone!

I’m trying to get a small country flag (for the translated version of my website) to sit next to the search box. I’ve looked through a bunch of the files but can’t seem to find where to do it or how to do it. I tried adding a simple img src to header.php (after ‘<?php get_search_form(); ?>’) but it doesn’t work.

Anyone have any idea?

Thanks so much. ??