the edit button is triggered by a security assist rule.
You could recreate the security assist rule in your access rules manage:
Name: Administrator
Conditions:
Allow IF
Value: <?php echo $_SESSION['AdminLogin']; ?>
Critiria: =
Compare to: <?php echo ((isset($GLOBALS['WAGLOBAL_Admin_Password']))?$GLOBALS['WAGLOBAL_Admin_Password']:"admin"); ?>
Allow If:
value: <?php echo $_SESSION['UserGroupID']; ?>
Criteria: =
Compare to: 1
See screen shot.