Custom text-only header

I am developing a WordPress theme and would like to make use of a custom header on a the homepage (I’m using a custom page template).

I would like this header to not include an image, but rather an <h1> and <h2> tag, and a link.

So my question is the following – how do I go about providing users with the facility to update the headings and the link in the header from the admin backend? Would add_theme_support( 'custom-header' ); be suitable for this since I need to add my own fields? And how would I go about completely disabling support for the image and showing the text in my page template?

File: functions.php

It’s as easy as adding this to your functions.php file (of course having $wpse67109 set).

add_theme_support( 'custom-header', $wpse67109_defaults );

File: index.php or any other template

Simply don’t add the whole get_head_image() and get_custom_header()->foo stuff anywhere.

Your headline template part could look like the following example:

<header>
    <hgroup>
        <h1 class="site-title">
            <?php
            if ( display_header_text() )
            {
                printf(
                     '<a href="https://wordpress.stackexchange.com/questions/67109/%s" title="https://wordpress.stackexchange.com/questions/67109/%s" rel="home">%s</a>'
                    ,esc_url( home_url( "https://wordpress.stackexchange.com/" ) )
                    ,esc_attr( get_bloginfo( 'name', 'display' ) )
                    ,get_bloginfo( 'name' )
                );
            } 
            ?>
        </h1>
        <?php if ( '' !== get_bloginfo( 'description' ) ) : ?>
            <h2 class="site-description"><?php bloginfo( 'description' ); ?></h2>
        <?php endif; ?>
    </hgroup>
</header>