Morgan grew up in Farnworth and Kearsley near Bolton, Greater Manchester. She studied at East 15 Acting School before playing Dawn in Peter Kay's Phoenix Nights. As a stand-up Comedian she was placed second in the Hackney Empire New Act of the Year Award 2006 and runner-up in the 2006 Funny Women Awards.
Morgan and Joe Wilkinson formed the Sketch duo Two Episodes of Mash. From 2008, they performed at the Edinburgh Festival Fringe for three consecutive years, and have appeared on Robert Webb's satirical news show Robert's Web. In 2012, the group completed their second BBC radio series (co-starring David O'Doherty), and appeared in BBC Three's Live at the Electric.
Morgan played David Brent's public relations guru in David Brent: Life on the Road. Morgan has also appeared in several short films, including The Boot Sale, which was shortlisted in the Virgin Media Shorts film competition 2010.
Morgan has appeared regularly as Philomena Cunk in Charlie Brooker's Weekly Wipe. In 2013 she appeared in the TV series Pat & Cabbage. In 2014 Morgan made an appearance in the TV series Utopia, as Tess, and in 2015 she appeared in two episodes of Drunk History.
In 2016 Morgan played Mandy in Sky One's comedy series Rovers, appearing in all six episodes of the first series. She also appeared in the pilot for the BBC Two comedy We the Jury as Olivia. On 29 December, she presented BBC Two's Cunk on Christmas. She also plays receptionist Talia in Sky's comedy drama Mount Pleasant and Liz in the BBC Two comedy Motherland.
In April 2018 the five-part historical mockumentary Cunk on Britain began broadcasting on BBC Two.
