A carriage, a buggy, stagecoach. a cart.
Hansom is a horse drawn cab.
hansom cabs
A Carriage
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.
A carriage with a hooded roof which folds into two sections is found on a landau. However, this is not necessarily a small carriage. you are probably thinking of a buggy
Another name for horse's braids are "plaits". : )
The name for a large, often horse-drawn sled is a sleigh. (In the case of Santa Claus, reindeer-drawn)
a steed is another name for horse
Another name for a horse pen is a paddock or a corral.
a canine is a dog, wolf, fox, ect... another name for a horse is equine
It was called a coach.
Waler horse