In 2004, she played the part of Andromache in "Troy". In January 2005, she created the role of Janey in the world premiere of "Earthly Paradise" at the Almeida Theatre. The play of a love triangle between Janey Morris; her husband William Morris, the writer and proponent of the Arts and Crafts movement; and Dante Gabriel Rossetti, the Pre-Raphaelite painter. Theatre critic Nicholas De Jongh said of her performance in "The Earthly Paradise" that "Burrows takes to the stage like a swan to water ... She deserves no end of watching."