Thanks, japhy! I spent a lot of time searching all over the place because I thought I had seen an easy way to do this. But I had forgotten that %INC was setting there holding just exactly the information I was looking for. :-)

Update: Here's my updated self-locating module:

package MyModule;

use strict;

my $inc_dir = $INC{'MyModule.pm'};

$inc_dir =~ s!/MyModule.pm$!!;

print "MyModule found at: $inc_dir\n";

1;
[download]

Update 2: After a little more searching, I finally found the original node I was looking for: Read a static file from module directory.

Impossible Robot