this button is to style the button which should be inside the slider – place it directly under that easy-slider and give the custom class to it: button-for-slider
here it is only set to a less opacity – but on default it should be set to display: none

the easy-slider gets its custom class: with-button

function button_for_easy_slider(){
?>
<script>
window.addEventListener("DOMContentLoaded", function () { 
	(function($) { 
		var buttonCode = $('#top .button-for-slider').get(0).outerHTML;
		$('#top .avia-slideshow.with-button .av-slideshow-caption').each(function() {
			$(this).append(buttonCode);
		});
	})(jQuery);
});
</script>
<?php
}
add_action('wp_footer', 'button_for_easy_slider');
/****** to have both - image-slide links and button links *******/

#top.page-id-42427 a .image-overlay {
  /**** display: none !important;  ****/
  z-index: 5;
}

#top .avia-slideshow.with-button .avia-button-wrap {
  position: relative;
  margin: 5px 0 0 !important;
  border: 1px solid #FFF;
  z-index: 10;
}

.avia-slideshow ~ .avia-button-wrap.button-for-slider {
  opacity: 0.2;
  /** display: none !important ***/
}