Before I could bring the camera to bear the accipiter flew to our bare pine tree and I managed to take a dozen or more photos while it was there. It then flew to a higher branch and I obtained another dozen or so photos. At this point I thought it was in danger of flying but it didn't, so I returned to the house.
A few minutes later my wife told me it was out around our brush pile in the front yard. I now had my camera upstairs (downloading from the memory card) so I went out on the deck and soon the accipiter emerged from the brush pile. I think it knew there were birds in the pile and soon one flew, but the prey had a head start on the accipiter and it wasn't going to catch it.
A little while later it was back in the brush pile, again hunting for birds. By now the light was fading but I took another couple of photos. It was really working the brush pile looking for prey. The brush pile is not natural... I wired together livestock panels (1/4" welded rods composing 4" squares) in a box to protect the birds from predators, but the predators I had in mind at the time all had four paws! However I know the small size of the squares made it difficult for the accipiter to maneuver in and out of the brush pile, hence the head start for the small bird I mentioned earlier.
Since I'm not comfortable with the identification between a Cooper's hawk (which I suspect this probably is due to pervious sightings in the yard) and a Sharp-shinned hawk, I'll try to get a reading from a more experienced friend.