I finally discoverd the answer to my question. It was found in the tutorial https://www.zen-cart.com/tutorials/i...hp?article=126. I will share one thing I discovered, that wasn't working for me, however.

The tutorial suggests adding the red entries below:

<!--[/b][/color] <div id="logo">
<?php // echo '<a href="' . HTTP_SERVER . DIR_WS_CATALOG . '">' . zen_image($template->get_template_dir(HEADER_LOGO_IMAGE, DIR_WS_TEMPLATE, $current_page_base,'images'). '/' . HEADER_LOGO_IMAGE, HEADER_ALT_TEXT) . '</a>'; ?>
</div> -->

When I did this, it removed the logo alright, but it also removed my custom header image as well! Not to worry. The fix is to only add the // preceeding the echo, leaving off the html quote desingators, and your custom header image will remain, and the Zen logo will be gone!

I hope this saves somebody some time someday!