Tonight, I returned to The Beresford to view the exchanges between the pair. The female was sitting on the eggs when I arrived and after about forty minutes the male came to relieve her. She flew off towards the the Pinetum, which is north of the Great Lawn, and didn't return for about thirty minutes.
After she returned, the male then left, first flying towards the bathrooms near the Delacorte Theater, and then he flew off to roost, west of Triplets Bridge.
It's going to be a fun adventure learning more about this new pair.
I would recommend watching the video in full screen mode. Just click on the box in the lower right hand corner, and if needed click on the gear to select a larger resolution.