William Henry Harrison holds several presidential records. He was the oldest man inaugurated as president for a first term (until Ronald Reagan in 1981). Some believe that Harrison thought he had something to prove on March 4, 1841, the day of his inaugural. He delivered a two-hour-long inaugural address (the longest ever, another record) on a remarkably cold, rainy day -- all without a hat or an overcoat.
Harrison seemed determined to show that a man his age was up to the rigors of the presidency, despite the weather. But Harrison's final record was for the shortest presidency. After standing out in the cold rain for two hours, President Harrison fell ill and died on April 4, 1841 -- 31 days later. He was the first president to die in office.