I thought that Lucius had a wife and a couple kids, but I could be wrong.
Tim originally used the Alvin Draper ID when dealing with Stephanie Brown, long before Bruce told her Tim's real name. (Kinda funny that both Steph and Kon immediately knew that "Alvin Draper" wasn't his real name.) Presumably he has a complete set of IDs, passports, and papers for Alvin as well.