Good news. Once the Turkeys started waking up and calling this morning, the missing one showed up. No idea where she was, but when I started banging around metal cans that I keep food in, the whole flock came running across the yard back to their run and it had all 9 birds in it. One thing I noticed that is different from the chickens is the flock order. With my chickens, my rooster is in the lead. With the turkeys, my two jakes always hang back and let the hens lead the flock.
So I did an official count this morning, and everyone was there: All 51 chickens and 9 turkeys. I also determined how the poultry netting got tore up. found the clip that attaches the netting to the electric charger on the ground. It looks like something was going around the perimeter of the run, and when they went by the charger, they snagged on the cord that runs from the charger to the net clip and pulled the clip off. This meant no charge on the net. I'm going to have to think about something to elevate the charger so that I don't have that vulnerability any more. I still think the culprit was my dog, especially cause there were no casualties. I can totally see him wanting to chase the birds, but not really be interested in killing them, since he has been around them for months now. I would think anything else determined enough to go through the netting would kill at least a chicken. They had access to the coop, since the auto door hadn't shut yet, but none of the birds have a scratch on them.
Bottom line, this was probably good for me because it pointed out some vulnerabilities and issues with my housing and protection without me actually losing a bird.