Editing The WordPress Search Form
You want to change the standard WordPress search form. You checked the WordPress Codex and it said you should edit searchform.php. But your theme doesn’t have a searchform.php file.
What can you do?
WordPress comes with a default search form. But, before it displays the default form, it will check your them to see if it can find a searchform.php. If it finds searchform.php, it will use whatever is in that file. Otherwise, it will use the default form.
So all you need to do in order to have a custom search form is create it and upload it to your theme.
The easiest way to do this is to view a page on your blog that currently uses the default search form. Once that page is in your browser, right click and use View Source to see the underlying page markup (XHTML).
Look for <form id="searchform". That’s the start of the form.
Then look down a few lines until you see </form>. That’s the end of the form.
Copy the form markup (that’s everything from <form to </form>) into a text editor. Save the new file as searchform.php and upload it to your theme. Check your new search form works correctly and then edit it to your heart’s content.

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