@gabalus,
The question of having no identifying information equally undermines the descriptivist's theory of names because, as Kripke and causal theorists argue, the descriptivist premise affords you successful reference even if you have "no uniquely identifying descriptions."
So I can successfully refer to Aristotle as "one of the students of the Academy," based on the descriptivist account. But this doesn't pick out Aristotle uniquely.
The causal theory forces us to look for the empirical grounding as a connection between the user of the name and the object of reference. (It's hard to see how Kripke can accept any other theory of reference when he holds that a name's meaning is merely the thing named, or a name's meaning is exhausted by its referent; i.e. Millianism.) In principle, based on the causal theory, we could "trace" a name back to its original use by becoming acquainted with the history of that name's use. We can, in principle, simply ask all the people who use, or who have used, that name, "Where did you get it?" or we could inspect the history of each user of that name. Based on the causal theory, reference is established by that historical connection. I prefer to call it the historic theory of naming.
This way descriptions don't determine reference at all. Kripke doesn't argue that descriptions are useless. He's only arguing that they are not reliable as a basis for successful (or successfully determination of) reference. Kripke's saying that your beliefs about the name and what you understand to be within field of descriptions of the name have nothing to do with its reference, or you successfully referring to it. They're nice to have, but not essential for reference.
If your community acquired the name "Cicero" in the appropriate and causal way, then you refer successfully as well. You look down the line of antecedent users of the name, which is entirely an empirical matter, a scientific investigation, say. Kripke's a scientific guy, so it makes sense for him to approach reference in a scientific way. What your community
thinks or qualifies "Cicero" with has nothing to do with them successfully referring to it. Those descriptions just get in the way or lead to possible mistakes (and are unreliable, according to causal theorists).