Originally posted by Shelteez2
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.
That is exactly what I have attempted to do, but since the goats only arrived 1 day before she got to them, there wasn't much I could do. Now I am rewarding her with her #1 favorite thing in the whole world when she even slightly ignores them: cheese!

I hope I wouldn't have to resort to something along the lines of that snake avoidance, but if necessary or possible, maybe that's my answer. At this point I haven't ruled out anything.

Thanks again, everyone, you've been more than helpful!