Strictly speaking a prop is only a prop if the actor holds/uses it on stage or screen, other items that appear on set are called “set dressing”. Arguably, the most used props on I Love Lucy were the cigarette lighters. The Zippo Lady Bradford table lighter is one we see a lot of, usually it is placed on the coffee table as seen above.
A quick search on eBay today produced this vintage Zippo Lady Bradford table lighter Click here to see the listing.
Ref: http://www.zippo.co.uk/subpages.php?mod=starRole