Other peoples comments being editable by league admins

maybe permission league_admin to edit comments, then use hook_menu_alter to change the comment edit menu option permissions to limit to that organisation?

// Implements hook_menu_alter
function mymodule_name_menu_alter(&$items) {
$items ['comment/%comment/edit']['access callback'] = '_my_module_name_custom_callbck';
}

// Access Callbck for comment edit.

function _my_module_name_custom_callbck($op, $comment) {
if ($op == 'edit') {
global $user;
return (in_array('your_user_role', $user->roles) || $user->uid && $user->uid == $comment->uid && $comment->status == COMMENT_PUBLISHED && user_access('edit own comments')) || user_access('administer comments');
}
}