We, too, had continuous rain and WIND this weekend. I also checked my box yesterday after rain quit in late afternoon, as I was concerned about wetness. I found some dampness along one side, but didn’t notice anything underneath the nest, although like you, didn’t want to disturb the 7 day old babies. I just came in from watching outside and parents are still bringing worms to babies, so guess they are okay. But I am still a little worried about this cold (41 degrees this morning), damp spell on them. Maybe it is better they have not fledged yet and have the box as some protection, and I believe mama is still keeping them warm. If your nest is “slightly damp” I would leave it alone, but that is just my opinion.