tekdinet Hi. Please copy file /tmpl/default.php from module to an override folder in template and edit it. Change the code:
<input type="submit" name="Submit" class="button btn" value="<?php echo JText::_('JLOGOUT'); ?>" />
to
<input type="submit" name="Submit" class="button btn" value="<?php echo JText::sprintf('HINAME', $user->get('username')); ?>" />
I'm not sure if I understood correctly though, above will show a username as a text on logout button. Is that what You wanted?