Update: After finding all of this out on my own, I discovered an article on the subject. Rats!
In the Admin console, under Appearance –> Edit, edit the Header.php file.
Near the bottom look for: <div id=”header” role=”banner”>
Below that, remove this code:
<h1><a href=”<?php echo get_option(‘home’); ?>/”><?php bloginfo(‘name’); ?></a></h1>
<div><?php bloginfo(‘description’); ?></div>
This will remove the text from the header.
To modify the graphic underneath the now extinguished text, edit or replace the file ‘kubrickheader.jpg’ located at ‘wp-content/themes/default/images/’. (The boarders of this header blend in with the edges of the body of the page, so you probably want to edit the graphic to replace the blue box in the middle with the graphic you want to substitute.)
There were other tweeks that needed to be made to style.css to clean up the right and left side of the banner. Those modifications are marked by comments.