It's the nomenclature that is used in the Greene and Russo guide. I think that DA stands for Doug's Area. I stuck with the same names to make sure that there was as little confusion as possible for people using the guide.
Climbs that are already published should probably be listed as their published names. That said, I think that everything else should be given a real name. Who wants to have climbed "Unnamed DA #43" when they could have climbed "Blood Sport" or "See Spot Run"? Slap a name on it and if someone wants to come forward with prior FA information then the site can be updated by an administrator.