I arrived at Washington Square Park only a minute after the banded fledgling was reported seen chasing (and missing) squirrels, zipping about the park, and then resting on Judson Memorial Church cross for a while.
I saw the fledgling just after I arrived. It was very high in the sky, circling above the block south of the park but only for several seconds (photo above).
A fellow Hawk-watcher (who had seen most of the action) and I searched for any of the Hawks for the next hour and fifty minutes but saw no sign of them before we had to go our separate ways for the day.