check to see if tag in group

Hello,
Thank you for this great plugin. I think I am close to getting the code correct but can’t quite get there.

I have a tag group ‘authors’ and in my archive.php file, if someone clicks on a tag that is in the group ‘authors’ I want it to say “Authors tagged…” instead of “Posts tagged…”

<?php } elseif(is_tag()) {
         // Load the tag groups
         if ( function_exists("tag_groups_cloud") ) {
	    $tag_group_ids = get_option( 'tag_group_ids', array('include' => '1' ), true );
            if ($tag_group_ids[0] == '1') { ?>
		<h2>Found <?php echo $total_results;?> article(s) for author '<?php single_tag_title(); ?>'</h2>
      <?php } else { ?>
		<h2>Posts Tagged '<?php single_tag_title(); ?>'</h2>
	    } } ?>

Right now nothing is going into the authors loop, I think it’s because what you would click on is the author name, not the tag group?

Thank you in advance.

https://wordpress.org/plugins/tag-groups/