I saw what I believe is a female American Kestrel in Central Park, by the Carousel, perched on the South side of the 65th St. transverse to the West of the Park Drive. I saw the bird fly in about 2:10 PM and land on a very high branch. It stayed there for at least 10 minutes, when I left it was still there. I saw a lot of tail action, I don't know the right word, it looked like a scissoring action to me.
Here are my best pictures, they have been run through Photoshop Elements to crop and color/contrast balance. I have similar pictures that are unedited if those are helpful to you.