functions.php

<?php

function move_extra_header() {
  global $ss_headers;
  
  // remove the Extra Header
  remove_action( 'shoestrap_pre_wrap', array( $ss_headers, 'branding' ), 3 );

  // add it before the primary navigation
  add_action( 'shoestrap_pre_top_bar', array( $ss_headers, 'branding' ), 1 );
}
add_action( 'init', 'move_extra_header' );