In the admin order page there is an area that specifies the dispatch date and expected delivery date, as shown below.
Shipping Calendar stores these in columns in the database.
The columns are: `dispatch_date`, `expected_delivery`, `delivery_description`, `delivery_notes` and `earliest`
These are stored in: `sales_flat_quote_address`, `sales_flat_quote_shipping_rate` and `sales_flat_order`