Second sidebar and widgets

Hi,
I’ve added a Second Sidebar by adding the following line to functions.php in the theme-Folder:

if ( function_exists('register_sidebar') ) {
    register_sidebar(array('name' => '1 - Default'));
    register_sidebar(array('name' => '2 - frontbar'));
}

Also I created a second Sidebar-2.php (because I’d like to put the second Sidebar in top of the posts) and therefor some entries in the style.css.

The Problem is: I can pull different widgets to the sidebar 1 and two but both sidebars show the widgets added to sidebar one. How can I manage the two sidebars correctly in the admin pages?

I’ve tried to rename the sidebar.php files with no result.

Would someone please tell me how to put different widgets to two sidebars?

Erik