Hello, Mike, and welcome to the forum!
The only 1958 5 lirot coin that I'm aware of is KM# 21
, but as you can see from the figures there the mintage reported is quite different from your numbers. The (current) prices are more modest as well. Of course if there's documentation that the coin is from the estate of Danny Kaye it may bring a premium from people interested in this kind of deal.
Is the label info you provided from your coin, or another coin that you found on "villagecoin"? If it's the latter I'd be worried that mr. Kaye had a bunch of 5 lirot - might be a scam.