Adding help text to drupal comment form using Drupal 7, I'd like to add some help text underneath each field for the user who is filling out the comment for a node.

For example, under 'your name' I'd like it to say, possibly in smaller font, "only give your name if you want it published with your comment".

Anyone know how to do this (maybe with hook_form_alter)?
Or just edit comment.tpl.php in your template files. Copy comment.tpl.php to your template folder and if not present in the code, add $author name and desired text.