I have been chasing ducks since I was knee high to a grass hopper. I have shot hundreds of birds over the years. In all of those years I have shot 1 black duck. This year I was lucky enough to shoot 2. This one is going on the wall. From googling images, I am pretty sure it is a drake.
It does have the yellow bill and I wish I would have thought to remove the snow before the picture. I was unaware that the bill was one of the main factors in figuring out if it is a drake or hen but learned after doing some googling and looking it up.
No my mom does not carve decoys. She makes hand made Christmas cards.