A lot of the worth rests in the size of the bronze and the authenticity (lots of recasts of virtually everything). My first question would be if it's foundry marked? Lots of his work was marked with a foundry mark "FB" (per <askart.com> website). Per eBay, most of his sculptures seem to be in the UK and the ones that do sell bring in the neighborhood of $300 to $400. I would think in that price range they are recasts. Barye lived long ago and was a perfectionist. He, like most living artists, went bust financially. It's only a guess, but I would think if yours is the genuine article and of any size, it should be worth some fairly decent dough. My advice would be to take it to a source of authority and have them document the authenticity. Without documentation, most buyers will assume it's a recast.