Are you able to keep her shut in your coop for a couple of days? I'm worried she might go back over there as she's probably going to be upset being moved and might try to go back to where she was.
Normally, there would be a better process to this but since she's hated where she is and something's stealing eggs right out from under her, I'd get one person to help you get her, her nest, and her eggs asap. I'd think a laundry basket and blanket would work. She naturally should want to...