The Hamilton role of Aaron BURR is a four-letter word, 'BURR'. Aaron BURR was an American politician and lawyer who served as the third Vice President of the United States from 1801 to 1805. He is best known for his duel with Alexander Hamilton, which resulted in Hamilton's death. BURR was also a major figure in the early development of the United States, serving as a Revolutionary War hero, a Founding Father, and a leader of the Democratic-Republican Party.