Old cigar boxes are collectible especially those in great condition or special limited productions. People also use them for storage or for creative projects. To learn more about vintage cigar boxes, you should check sales sites like Ruby Lane, eBay, and etsy often as inventories change quickly. You can also look at the Collector's Weekly page which offers information as well as many images.
Two books on the topic include:
"Handbook of American Cigar Boxes" by Tony Hymen
"The Art of the Smoke: A Pictorial History of Cigar Box Label Art" by Jero L. Gardner
You can also visit Tony Hyman's site online, Hyman's Cigar History Museum which offers information on vintage boxes and labels.
See if there is a cigar shop in your area. The people there may be able to offer some information or tell you where you can learn more about vintage cigar boxes.