I was able to successfully move my broody at night before I gave her some fertilized eggs. Just picked up the milk crate she was nesting in, carried her to a dog crate and put both her and her bedding inside. She still was determined to set so I threw some real eggs under her a couple days later.
I'd say since your gal has already started to sit on her clutch moving her is a gamble. Marking eggs and removing extras may be safer for the eggs unless you have an incubator in case she abandons them after a move.
I did end up moving her dog crate again at night about two days before the chicks hatched. I had a massive issue with snakes and so moved her into a very dark office/shop building that was much more snake proof than my coop. She did fine and her chicks hatched without issue.