I rushed quickly toward the call, near the side of our building. Sure enough, it kept calling away and this time I heard the wing-whir as well. The woodcock's wings make a twittering, whirry sound during its display flight. The outer three feathers on the wing, called primary feathers (there are ten primary feathers on each wing of most birds), are somewhat narrow and vibrate during the flight to cause the odd noise.
Here is the same photo cropped in so you can see its amazing beak better. The beak of the American Woodcock is used to probe for worms and other goodies in the soft soil. The tip is flexible, not rigid like those of other birds. This feature allows the woodcock to probe deep into the mud, then open the bill underground to grab the earthworm or other invertebrate prey. There are also sensory nerves in the bill that allows the woodcock to locate its food. The large eyes located high and on the side of the head allow the woodcock to see 360 degrees around to help avoid predators.
American Woodcocks perform there display flights in late February and March. The best place to find would be an open field near a woods. Check these areas at dusk or right before dawn and hopefully you too will witness the amazing aerial display!