Woodcock was both the company secretary and operations director for the Vote Leave campaign. Dominic Cummings has credited Woodcock with being the most indispensable person in the campaign. Woodcock was responsible for managing the creation of the Voter Intention Collection System (VICS), a bespoke canvassing software system used to model and target the campaign. She has been described as pivotal to the running of Vote Leave, and noted for not seeking the limelight.
