Glenn is right. You need to continue to modify the header file.
Here's my take.
1. Backup your top_header.php file and put it aside. You can revert the changes if things don't work after following the below info.
2. Look into tpl_header.php in your current template, and comment out the entire branding section with the red indicated code. This will eliminate zen cart default header all together.
Code:
<!--bof-branding display-->
<!--
<div id="logoWrapper">
<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>
<?php if (HEADER_SALES_TEXT != '' || (SHOW_BANNERS_GROUP_SET2 != '' && $banner = zen_banner_exists('dynamic', SHOW_BANNERS_GROUP_SET2))) { ?>
<div id="taglineWrapper">
<?php
if (HEADER_SALES_TEXT != '') {
?>
<div id="tagline"><?php echo HEADER_SALES_TEXT;?></div>
<?php
}
?>
<?php
if (SHOW_BANNERS_GROUP_SET2 != '' && $banner = zen_banner_exists('dynamic', SHOW_BANNERS_GROUP_SET2)) {
if ($banner->RecordCount() > 0) {
?>
<div id="bannerTwo" class="banners"><?php echo zen_display_banner('static', $banner);?></div>
<?php
}
}
?>
</div>
<?php } // no HEADER_SALES_TEXT or SHOW_BANNERS_GROUP_SET2 ?>
</div>
<br class="clearBoth" />
-->
<!--eof-branding display-->
3. Add your header HTML section (which I took from
http://mowerpartsupply.com/test6.html, and added <table> and </table> tag) after the <!-eof-branding display-->
Code:
<!-- bof Mower Part Supply header -->
<table cellspacing=0 cellpadding=0>
<tr>
<td width="250" height="114"><div align="left"><img src="test6_files/top-mower-logo.gif" alt="animated lawn mower" width="250" border="0" height="128"></div></td>
<td colspan="2" valign="top" width="576" bgcolor="#cfe5fa" height="114"><img src="test6_files/equipment-supply.jpg" alt="662-895-3442" width="440" height="125"><a href="https://www.cartmanager.net/cgi-bin/cart.cgi?ViewCart=igilmore" target="_blank"><img src="test6_files/view_cart1.jpg" alt="View Cart" width="100" border="0" height="125"></a></td>
<td width="6" bgcolor="#cfe5fa" height="114"> </td>
</tr>
<tr>
<td valign="top" width="250" height="1"><img src="test6_files/mower_part_supply.gif" alt="landscaper supply" width="250" border="0" height="60"></td>
<td colspan="2" width="560" background="test6_files/recurring_grass.jpg" height="1"><a href="http://mowerpartsupply.com/warranty.php"><img src="test6_files/warranty_button.gif" alt="warranty" width="80" border="0" height="60"></a><a href="http://mowerpartsupply.com/location.php"><img src="test6_files/location_button.gif" alt="location" width="80" border="0" height="60"></a><a href="http://mowerpartsupply.com/about-us.php"><img src="test6_files/about_button.gif" alt="about us" width="80" border="0" height="60"></a><a href="http://mowerpartsupply.com/privacy.php"><img src="test6_files/privacy_button.gif" alt="privacy" width="80" border="0" height="60"></a><a href="http://mowerpartsupply.com/order-info.php"><img src="test6_files/order_button.gif" alt="order info" width="80" border="0" height="60"></a><a href="http://mowerpartsupply.com/hours.php"><img src="test6_files/hours_button.gif" alt="hours" width="80" border="0" height="60"></a><a href="http://mowerpartsupply.com/returns.php"><img src="test6_files/returns_button.gif" alt="returns" width="80" border="0" height="60"></a></td>
<td width="6" bgcolor="#046b34" height="1">
<img src="test6_files/last-grass.gif" width="6" border="0" height="60"></td>
</tr>
</table>
<!-- eof Mower Part Supply header -->
This will replace the entire zen cart header with yours. You are 1/2 way into this already, but you just need to continue to tweak your tpl_header.php file so it contains your links in the graphics.
Don't forget to change those links in the above code to relative links. You don't want any URL in any of your links in zen cart, otherwise, using the same code in the SSL section will render "This page contains secure unsecure contents".