Even with a picture it's hard to give a very accurate value on old pin games. There have been a fair number of Lindstrom Gold Stars on auction lately. If they were in mint condition, the basic model I'd guess $25-35, and maybe $35-50 for the Deluxe model. You might want to keep an eye on Ebay for a while, one could show up.
I tend not to agree with the auction prices for baagtelle games on eBay. They usually ask more than the items are worth, either because they really don't know, or maybe they do know, but figure no one else will know. The one's that gall me the most are when a seller uses words and phrases like Rare, One of a kind, Antique, or claim not to know how old something is.
For example, I won an auction a while back for a T Cohn miniature bagatelle made in the early 30s, measuring 18" x 15". While it has some wear to it, the only issue is that one of the swing down tin legs is broken off. The seller was honest about it, and it cost me less than $15 including shipping. I have a friend who can replace the broken piece. If I do get it fixed I could then probably resell it for $35-50, and if it was in mint condition I could get $75-90.
I have no plans to sell it, and if I could afford to, I'd buy more. The thing to be aware of is that you seldom can make a killing on one item, at least not if you are honest. Most pin games simply were made in too large numbers to be rare in most cases.
John