What you need your dog to understand is that those birds are not hers to eat; merely her's to bring to hand.

I've really never had a problem with any of my dogs eating birds, but I am fairly hard on them when it comes to obedience. I've found that if you never let them get away with ANYTHING then everything else pretty much falls into place.

Force fetching does work. I don't like it, and I hate seeing it done. Which is why I personally don't do it, I let someone else handle that. But in certain cases, my current golden among them, it can really be the ticket.