These are the hardest birds to find, even with directions. But they are right to be well hidden. They do not move all that quickly, they're big, and hawks would definitely like to eat them.
There is one Filming the Feathers video featuring the American Woodcocks.
On March 8, 2015, a woodcock was on a rock in the center of a very small stream. The bird was very quiet, and rightly so, because during the time we were watching, a red-tailed hawk took a perch over the stream. Had the woodcock moved, he probably would have been hawk food.
The hawk above the woodcock's head.
March 14, 2014