Adjusting WordPress Function to display Parent Category

I am trying to display the classic breadcrumbs on a WP based site. I have the following function,

//breadcrumb function
function the_breadcrumb() {
    if (!is_home()) {
        echo '<a href="';
        echo get_option('home');
        echo '">';
        //bloginfo('name');
        echo 'Home';
        echo "</a> > ";
        if (is_category() || is_single()) {
            the_category('title_li=');
            if (is_single()) {
                echo " » ";
                the_title();
            }
        } elseif (is_page()) {
            echo the_title();
        }
    }
}

But when the page is inside a parent category (i.e., About (Parent), Advisors (Child)) it only shows the child page. Any thoughts on how I can add a condition to show the parent page as well? Any help would be greatly appreciated.

/* EDITED */
I found a perfect working function for it:

function breadcrumbTrail($crumbs = true, $title = 'Browse', $separator = '/')
{
  global $post;
?>
  <div class="breadcrumbs">
<a href="<?php bloginfo('url'); ?>" title="<?php bloginfo('name'); ?>"><?php _e('Home','options'); ?></a> <?php echo $separator; ?>
<?php

  if(is_single()) :
    the_category(', '); echo ' ' . $separator . ' ';
  elseif(is_page()) :
    $parent_id = $post->post_parent;
    $parents = array();
    while($parent_id) :
      $page = get_page($parent_id);
      if($params["link_none"])
        $parents[] = get_the_title($page->ID);
      else
        $parents[]  = '<a href="'.get_permalink($page->ID).'" title="'.get_the_title($page->ID).'">'.get_the_title($page->ID).'</a> ' . $separator . ' ';
      $parent_id  = $page->post_parent;
    endwhile;

    $parents = array_reverse($parents);
    foreach($parents as $val) :
      echo $val;
    endforeach;
  endif;
  the_title();
?>
  </div>
<?php
}

Hope this helps someone out.