Print WordPress template filename(s) for debugging

I’ve taken over the maintainance of a large WP-MS powered site. The site has ~200 templates, many page specific, and with no standard naming procedure.

It would save a lot of time if while surfing around the site I can see the template names which make up the current page. Is this possible? I’ve looked at the debug plugins for WordPress, but they appear geared towards variables and SQL queries, not templates.

this is also a quick way;

<!--

<?php print_r( debug_backtrace() ) ?>

-->

paste it just before the closing tag