Rat-catching, Mumbai, India

However, the story has a modern setting, not a Victorian one, and therefore the rat-catcher in the story is more of a general pest-control man, not strictly a specialist in rats alone.
In the DC Universe one of Batman's enemies is the Rat Catcher, formerly Otis Flannegan, who was employed as a real rat catcher for Gotham City. He occasionally orchestrates rat plagues using his uncanny ability to control rats.
British author Roald Dahl wrote a short story with the title "The Ratcatcher."