I remember my mother always making these when I was little too, so I know this is an oldie, but a goodie!
For hot fresh donuts, all you need is a tube of these biscuits...Pillsbury (the camera flash kind of blocked out the name) or any store brand buttermilk biscuit. Sorry for the dark pictures...my kitchen is in the center of the house, so there's not a lot of natural light.
I use the top of a salt shaker to make the donut hole.
Separate all the biscuits...
Press the salt shaker top into each.
and here you have one donut and one donut hole!
I use an electric skillet, so I can control the temperature of the oil. Vegetable oil usually set at 350* - 375*.
Cut all the biscuits while the oil is heating up.
Carefully slide in the donuts 5-6 at a time. Too many at one time cools the oil down. Cook 1-2 minutes on one side and...
Carefully flip over and cook for another minute or so...until lightly browned.
Take out and drain on paper towel for a second then pop them into a paper bag filled with sugar. I used a bowl of sugar so you could see them.
Toss in white sugar, cinnamon sugar or sprinkle with powdered sugar. We've also used Nutella, the chocolate hazelnut spread. Those are yummy too.
There's a trick with the donut holes. Carefully place them in the oil. Let them cook for a second or 2 and them flip them over even though they are not browned yet.
If you fully cook them on one side first, they puff up so much they won't turn over in the pan.
Keep turning them until both side are golden brown. See that little one in the picture all by itself. That little devil wouldn't turn over so one side stayed lighter.