They were also trying to figure out your request since it is a web standard to have a "title" to accompany links so screen readers and others with accessibility issues can "read" your links.
To change the link text on the TITLE (which I believe is what you are talking about), open your index.php template file within your Theme.
Look for the following or something similar:
<h2><a href="<?php the_permalink() ?>" rel="bookmark" title="Permanent Link to <?php the_title(); ?>"><?php the_title(); ?></a></h2>
Change it to:
<h2><a href="<?php the_permalink() ?>" rel="bookmark" title="Whatever you want to say here <?php the_title(); ?>"><?php the_title(); ?></a></h2>