It seems I have found a working solution. Simple jQuery method:

 jQuery("header").detach().appendTo(".thumbnail");
 

This is final solution for moving title under the featured image depending it’s on the post archive page (homepage in my case) or single post page, in which previously I added a div with the “swapper” id. I used that method because I also want my title under the top-most object div (zoomify) on single post.

jQuery(function($) {
    $(document).ready( function() {
        if ($("body").hasClass("home")) {
            jQuery('article').each(function(){
                jQuery(this).find('header').before(jQuery(this).find('.thumbnail').detach());
            });
        }
        else {
            $('header').insertAfter('#swapper');
        }
    });
}(jQuery));
 

Works flawlessly here.