Jack continued grinning, clearly enjoying her reaction. From the looks of things, she didn't have any idea who he was. But that was bound to change once she started dreaming like everyone else had.
But when she asked if there was anything else, he just couldn't help himself as he replied, "Your mobile number would be nice." Jack winked at her, extended his hand, and said, "Jack Harkness... nice to meet you, Rose."