Tonight, I found the fledgling and the father near the Boat House Café.  This is back on the west side of the Henry Hudson Parkway, closer to the Hudson River where it was cooler. 

The fledgling had found an old nest and was relaxing in it.  After about fifteen minutes, I lost track of the fledgling, but soon rediscovered it nearby eating a rodent.  Once the fledgling was done eating, the father finished the leftovers.