Thomas Dewey Campaign Buttons. Welcome to the Thomas Dewey campaign buttons section on campaignbuttons-etc.com. New York Governor Thomas E. Dewey was the Republican Party presidential nominee in 1944 and 1948. Pictured here are Thomas Deweycampaign buttons along with one that features his 1948 running mate and future Chief Justice of the Supreme Court Earl Warren. Dewey won his first political office when he was elected District Attorney for New York County in 1937. For his 1944 vice presidential running mate, Dewey selected Senator John Bricker of Ohio.