I figured out how to do it so I thought I would post it here for anyone that has a need for this.

I added the following to the chilf theme’s functions.php:

// Show menu label in breadcrumb trail

function get_menu_label_by_post_id($post_id, $menu) {
$menu_title = ”;

$nav = wp_get_nav_menu_items($menu);

foreach ( $nav as $item ) {

if ( $post_id == $item->object_id ) {

$menu_title = $item->post_title;

break;

}

}

return ($menu_title !== ”) ? $menu_title : get_the_title($post_id);

}

After copying includes/view/page_header.php to the child folder, make the following adjustment.

Find:
<li class=”active”>“><?php echo esc_html($title) ?>

and replace with:
<li class=”active”>“><?php echo get_menu_label_by_post_id($post->ID, ‘Main Menu’) ?>

Where ‘Main Menu’ is declared, change this to the menu name being used in Appearance > Menus.