Thomas Dewey Campaign Button. Welcome to the Thomas Dewey 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 Dewey campaign 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.