Need more info....do you know what the model is? Also, is it push-feed or controlled round feed? If it's a push feed, it's either a Ranger (which came with a hardwood stock from the factory) or a Black Shadow. These sold for quite a bit less than the Classic (controlled round actions) sold for. I bought a couple of Rangers 4 or 5 years ago for $360 each, NIB, in .243 and 30-06. They were retailing for about $450 back then, but the shop owner had two that he wanted to get out the door. The Black Shadows had a plastic stock with a W in the checkering on the forearm. They sold new at Wal-Mart for right about $400 or so, with a cheapy 3-9 scope, basically a Winchester package gun.
The pencil thin barrel makes it either a Ranger or a Classic Featherweight with a different stock. IMO, an aftermarket stock doesn't make the gun worth any more than the factory stock.
The problem is that since Winchester shut down, many people think that "ole Betsy" is now an instant collectors item, which they aren't.
If it's a push-feed, I'd say that $350-$400 would be in the ballpark. If it's controlled round, then it would run higher, but I personally wouldn't go more than $500-$600 (if that) unless there's some extra's tossed in.