She has taken to sitting on them more regularly but she does not sit on them all day. We have put the roosters up so they can't bother her and we can leave the pen open. If the roosters are out they like to go into her nest and uncover the eggs. Not to mention that they will try to jump on the female geese as well as the hens!
She doesn't like it when we get too close and tries to hide her head so we can't see her. I have read that not all female geese will sit on the eggs. Usually one or two will lay the eggs and one will sit on them. So far we have only noticed two of the females laying eggs and the one that is sitting appears to be laying more often.
I have finally found a book about domestic geese that I want to get. It is very difficult to find a lot of information about raising geese online so we are trying to let her do what comes naturally until we can learn more. The geese are fun to watch and they do have a certain elegance and grace to them especially when they are on the water.
We did get a little snow recently and it was the first that the birds have seen. The geese did not seem to be bothered by it at all and went about their usual routine of getting breakfast and then heading back to the pond. The chickens however took a little longer to venture out. Geese are pretty hardy birds and don't seem to be bothered by very much. And of course the eggs are great!