I always move them earlier in the incubation period, but I think if you do it at night and make sure where you move her still has the right feel (private, safe) then she SHOULD be fine. I had to move my Speckled Sussex girl 3 times as I was working one Mama with chicks out of the broody house and she is still setting pretty.
yesss!!! wait until they all hatch to move them!! i tried moving a broody and she stopped setting and refused to hatch the chicks!!! leave her where she is and keep an eye on her progress but dont move her!!!