Maybe as a last resort you could look into doing the same kind of avoidance training that goes on with people who train their dogs to stay away from venomous snakes. It is harsh training, but if it's a last resort.....I don't know. Anyways, here are a couple links to show you what I mean....

http://www.vizslaclub.com/huntingfield/desnaking.htm

http://www.rgj.com/news/stories/html...7/29/48126.php

I think what I would do first is to slowly introduce/desensitize your dog to the baby goats. I would walk the dog to the point where she notices the goats, but isn't completely out of control. I would sit there with her and reward her any time she turns away from the goats. Eventually you would move a little closer and start again..and then move closer etc.