There's no need to leave the eggs in the nest. They will continue to lay, very rarely do they change locations just because you took an egg. Here in MI the geese routinely begin laying before the weather has completely warmed. If you want goslings, you need to collect your eggs to preserve their viability. Just pick up your eggs daily and bring them in. Store them as you would if you were going to hatch them yourself, and if you want her to brood just put them back out when you have a good clutch. Best thing to do is to put them out in the morning on warm days and monitor the nest action. If you don't have someone sitting the nest by nightfall and it's going to be cold bring them back in so they don't freeze. Good Luck!