I set out on my Hawking visit during “The Witching Hour”, the time when the Washington Square Park Hawks routinely take a late morning/early afternoon break from the park.
I looked throughout the park for the Hawks as a matter of custom for 35 minutes but was not surprised they were absent.
On Saturday afternoon around 2:30 I spotted one of the Hawks on a chimney on a building at 3rd Avenue and 10th Street.
That building is marked with the red dot northeast of the park here: