WordPress admin: How do I move a submenu from one parent to another?

Question

Is there a way to move a sub-menu item from one parent to another? I need to do it without any plugin.

I have following menu hierarchy in admin at the moment

Weather Alerts
- Weather Alerts
- Add New

Weather Settings
- Weather Settings
- Global Weather Settings

I have a user role named 'Weather Info Editor'. For users with this role I like the menu to come up like

Weather Alerts
- Global Weather Settings
- Weather Alerts
- Add New

and parent menu Weather Settings to disappear.

To get this done I tried the following but it does not work:

function remove_menu_pages_for_weather_info_editor() {
    if(current_user_can('weather-info-editor')) {
        remove_menu_page('tools.php');
        remove_menu_page('options-general.php');
        remove_menu_page('edit.php?post_type=seminar');
        remove_menu_page('jetpack');
        remove_menu_page( 'weather-settings');
    }
}

add_action('admin_menu', 'remove_menu_pages_for_weather_info_editor', 999);

function move_global_settings_under_weather_alert() {
    if(current_user_can('weather_info_editor')) {
        add_submenu_page(
            'edit.php?post_type=weather_alert',
            'Global Weather Settings',
            'Global Weather Settings',
            'manage_options',
            'global_weather_settings'
        );
    }
}

add_action('admin_menu', 'move_global_settings_under_weather_alert', 9);

I also tried 'weather_alert' in place of 'edit.php?post_type=weather_alert', in function move_global_settings_under_weather_alert but that did not work either.

I am using this as reference.

Please suggest a way to accomplish the way.