Olivia was born in Oldham, Greater Manchester in the North of England on December 27, 1993.
She trained at the prestigious Oldham Theatre School and on graduating won the major supporting role of Meg in Blackout, a mini series produced by Red Productions for the BBC directed by Tom Green.
She followed this up with the lead role of Harper, starring alongside Sam Claflin and Jared Harris, in The Quiet Ones directed by John Pogue for Hammer Films and shot in the UK. She then went on to play the leading role of Nancy, a young teacher in the 1940's caught up in the world of a tyrannical children's home, in the BBC's three-part primetime, supernatural drama The Secret of Crickley Hall.
- Has often been mistaken for American because of her Bates Motel character. The character of Emma was originally written as Mancunian but Cooke thought it was a failsafe measure because of her accent. Freddie Highmore helped her work on her American accent, having had previous experience with it.
- Is good friends with her Bates Motel co-stars Freddie Highmore and Nicola Peltz and considers the cast and crew a family away from home.
- Has contributed to "Emma's Blog" on the A&E website.
- Like co-star Freddie Highmore, she does not use social media.