I don't think there's a way to get the name of the include. Here's what I tried:
I made a file, info.php, with the line <?php phpinfo(); ?>.
I made another file, test.php, with the line <?php include("info.php"); ?>.
Since it prints out all server variables used, I searched for the include's name, info.php. There are no results, however.
This leads me to believe there isn't a way. It might be different if you attempt to echo FROM the include, though.