Multiple Header Images Using Single Template

My goal is to just use the page.php template for all of my secondary pages, but I want to have a different header image for each section. This code should allow this so that the user doesn’t have to select a template in the admin panel.

function my_different_header_images() {
if (is_page('about')) {
?>

<img src="<?php bloginfo('template_directory'); ?>/images/my-other-header.jpg"
width="" height="" alt="" />

<?php
	}
}
add_action('hook_header_images','my_different_header_images');

My real question, if the above works, is how to tell all sub-pages of About to use that same header image? Is that possible with this code?