Can you put it back quickly before the mom forgets about it and builds another nest?
I would not move it unless I could move it a few feet at a time maintaining about the same environment (amount of shade) each time. Wait a few days and observe that mom has settled onto the nest again between each move.
(One morning on WRKO Radio) The tub's not clean! Let's remodel the bathroom.
(One afternoon on WRKO Radio) It's time for an oil change. I'm going to trade in the car for next year's model.