No one invented horses pulling cars. This came about out of necessity. Early automobiles were notoriously unreliable and would commonly break down requiring them to be pulled by a horse.
Necessity is the Mother of invention.
The Horse Drawn Chariot was invented in the year 1,700 B.C.E.
The Egyptians first invented the horse drawn chariot, however, the Mayans invented the wheel.
a horse
A horse drawn vehicle is any movable vehicle made to be pulled by one or more horses.
Motorized vehicle weren't invented yet back in the 1790's. He would most probably rode a horse or a horse drawn carriage.
Coachman
The chariot.
Do you mean Tuk-Tuk? It's not horse-drawn but scooter - based.
carrige
Chariots.
Chariot
That would be an open carriage drawn by eight horses.