Output menu title

This outputs the title of a menu using wp_get_nav_menu_object (and prepends to the Content).

function pg_show_nav_menu_title ( $content ) {

    // ID of the menu you want
    $nav_menu_id = 14;

    //Get menu into an object
    $nav_menu_object = wp_get_nav_menu_object( $nav_menu_id );

    //Get the name (title)
    $nav_menu_title = $nav_menu_object->name;

    //String to return as Content
    $content="Nav menu title: " . $nav_menu_title . '<br>' . $content;

    return $content;

}
add_filter( 'the_content' , 'pg_show_nav_menu_title' );

Note: You can get the id of any menu in Dashboard > Appearance > Menus. Right-click on the Select menu and show source. The numbers in the options are the IDs. In the example above, I grabbed ’14’ from:

<select name="menu" id="menu">
    <option value="14">Primary</option>
    <option value="237">Top (Secondary Navigation Menu)</option>
</select>