flocsy

Title Icon plugin
Displays a small icon or smiley in the title. You have to add <code><?php if (function_exists('the_title_icon')) the_title_icon(); ?></code> to your index.php, single.php, page.php, archive.php 
before or after the <code><?php the_title(); ?></code>
Title Icon plugin works together with:
<ul>
<li>LMB^Box Smileys plugin (http://aboutme.lmbbox.com/lmbbox-plugins/lmbbox-smileys/)</li>
<li>Smilies Themer plugin (http://rick.jinlabs.com/code/smilies-themer/)</li>
</ul>

Title Icon

Title Icon plugin displays a small icon or smiley in the title.

Web Guy

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Add a favicon.
Set the favicon URL under Appearance > Customize > Site Identity > Site Favicon.
This plugin is especially useful if you’d like to set a Site Icon, but also need to set a unique favicon separate from it.

Title Icon vs Site Favicon