Have you tried moving the actual nest. That may work more than just moving the eggs. I would never allow any of my birds, geese or otherwise, to remain outside at night much less nest even with our 7 dogs as protection. I had to kill a porcupine the other day that was walking across our field toward the Cayuga ducks who were outside. This was daytime not at night. I fired 3 warning shots to try to run it off but each time it just stopped, looked at me and turned back toward his goal. So, daytime, shotgun firing and 7 dogs going ballistic did not deter a predator with only one thing on its mind. At night it could be even worse. We also have had cayotes circling the place at night. You can tell by their howling and barking that they are trying to distract the dogs in one direction while they head for the chicken coop in the other. At least a single warning shot into the air and you can hear them yelp and run away into the night.
So, try moving the actual nest and eggs. Then if she continues to lay outside move the egg into the nest where you placed it. Then at night put her to bed in the building/cage with the nest. Once she goes broody she will sit the nest and all with be right with the world.