So far they have been given napkins, matchbooks, tea cups, soap and a vinyl album, WGNO reported.
Someone even sent a photo of a statue they have from The Roosevelt, but WGNO didn't say how the person got the statue in the first place.
Former visitors have until July 1 to return the items. Then everyone who returns something gets their name entered in a sweepstakes with a chance to win a seven-night stay in the hotel's presidential suite, complete with gourmet meals and spa treatments. That prize is worth about $15,000.