Leigh was born in Dallas, Texas on August 8, 1990. She began acting in an effort to improve her writing, attending a class to learn how actor’s develop characters. .
Her first major role came as Liza in the first season of the Batman prequel television series Gotham (2014–2015). She was also featured in the 2015 television miniseries The Slap, a remake of the Australian series of the same name.
Leigh played a supporting role in the film James White (2015) and played a small part in Mozart in the Jungle. She portrays Dallas Cowboys Cheerleader Faison Zorn, Billy Lynn's romantic fixation, in Director Ang Lee's Billy Lynn's Long Halftime Walk, the first movie digitally shot at a 120 frames per second frame rate (five times the normal rate of 24fps), exhibited in 4K and 3D (referred to by the Director as "the whole shebang") at the 54th New York Film Festival, and released to theatres in November 2016.
