Button has made guest appearances in How Not to Live Your Life, Outcasts, Foyle's War, Cardinal Burns, Pramface, You, Me and the Apocalypse and as Vera in My Mother and Other Strangers.
Button made her West End debut in 2007 in Rock 'n' Roll by Tom Stoppard playing young Esme and Alice.
In 2009 she appeared in Madame de Sade for the Donmar Warehouse opposite Judi Dench and Rosamund Pike, then as Sonya in Vanya at the Gate Theatre.
Written by Ella Hickson, it is a feminist reimagining of Barrie's original novel, putting Wendy 'the girl who would grow up' in the spotlight.
Dominic Maxwell from The Times said of her performance, "Button has the ability to transmit the knottiest thoughts from behind an easy, poised demeanour.