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I think it's not database problem. In the db categories was added. There is problem with perm.php file. I suppose some permission are not setting during creating category, so cats are added but are not shown.
I looked closer. Script is stopped in file /extgallery/class/publiccat.php around line 61:
$permArray = include XOOPS_ROOT_PATH.'/modules/extgallery/include/perm.php';
I copy&past array (with ghias modification) from perm.php file and assign to $permArray
$config = array (...); //array from perm.php
$permArray = $config;
And working! Category was created and shown.
It is only one test, not solution. I have not had time to check which interferes with it.
I suppose something in the 61th line is not correctly interprets by some specific php version. So in my case extgallery work on PHP 5.2.5 but not work on php 5.2.2
