An effort is usually made in flight coordination to figure out whose stuff belongs to who, yet, if no name, flight number, or tail number can be identified, then it becomes very hard to trace an item to an individual.
Recently, within the last few months, we put all of the "nice" stuff that was turned into the desk in a box.
Further, we make announcements when nice things get turned in, in an attempt to track down the indivdual as the chances of that person still being in the A.O.C. at the time is high . . .