The submissions data does not include the order billing address etc. Ideally you should export from WooCommerce and not use WS Form as your source of data for submitted data. However, if you do export the data to a CSV file in WS Form we do include some WooCommerce data such as the order ID.
As the extension extends WooCommerce, you should continue to use WooCommerce as your main source of data. It is intended to add cart and order meta data which you will find when you view orders in WooCommerce itself.