Definition:Small Category

Definition
Let $\mathcal C$ be a category.

If $\mathcal C$ is a set then $\mathcal C$ is small.

If for any two objects of $\mathcal C$, the Hom class $\operatorname{Hom}(X,Y)$ is a set, then $\mathcal C$ is locally small.

Also known as
In the index of by Peter Freyd there is an entry Kittygory.

On checking back in the book to see what it refers to, you find:
 * "If $\mathscr M$ is a set we shall call it a small category."