At home, my mom used her hairbrush, which was sort of like a paddling, over her lap. And/or, she had me fetch a switch from the apple tree.
My dad used his carpenter's ruler, which was also sort of like a paddling. And/or, he used an apple tree switch, or his razor strop.
All discpline at home was on my bare butt.
The only authentic paddlings that I received were at Christian school, from the 4th grade through the 12th grade (discpline was administered with a school ruler in grades K-3, but these were OTL spankings, not legitimate paddlings). In 4th through 6th, the paddle was administered to naughty bare butts by the school principal in his office. In 7th through 12th (junior and senior high school), the school disciplinarians were the Boy's Dean of Discipline or the Girl's Dean of Discipline, and they were also the boy's and girl's PE coaches, respectively. If you had an appointment with the paddle, it was administered in your scheduled PE period, at the end of class, immediately upon exiting the showers in the boy's or girl's PE locker room.
I can testify to the procedure in the boy's locker room. All of the other boys in the locker room would see still-wet, naked, and nervous naughty boys bending over a gymnastics horse to receive their discpline (a boy who was to receive a paddling was not allowed to grab a PE towel until after he had received his swats). Some boys, anticipating their discipline, got erections while still in the showers, and had to walk from the showers to the discipline horse with their penis standing at attention. I was one of the boys who always had to suffer the embarrassment of a rock hard penis on display. Very few erections were still standing at attention after coach was finished administering "correction", but I was always an exception to that rule.