Madam Hooch is the Quidditch coach, flying instructor and referee at Hogwarts School. She is described as having short, grey hair and yellow, hawk-like eyes. Madam Hooch once remarked that she learned to fly on one of the old Silver Arrows, considered the true forerunner of the racing broom, but which are now no longer made.
Like Professor Quirrell, Madam Hooch doesn't have an official first name. The Trading Card Game lists it as Rolanda. The Internet Movie Database lists her first name as Xiomara. Neither of these names have been corraborated in canon.
Madam Hooch was played by Zoe Wanamaker in Harry Potter and the Philosopher's Stone. Madam Hooch didn't reappear in the film for Harry Potter and the Chamber of Secrets as Wanamaker had only signed up for one film.