filter-genesis-structural-wrap.php

<?php
//* Do NOT include the opening php tag

add_filter( "genesis_structural_wrap-footer-widgets", 'jmw_filter_footer_widgets_structural_wrap', 10, 2);
/**
* Filter the footer-widgets context of the genesis_structural_wrap to add a div before the closing wrap div.
*
* @param string $output The markup to be returned
* @param string $original_output Set to either 'open' or 'close'
*/
function jmw_filter_footer_widgets_structural_wrap( $output, $original_output ) {

    if( 'close' == $original_output ) {
        $output = '<div>Your text here</div>' . $output;
    }
    return $output;
}