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How many children did he have?: Alexander and Elizabeth Hamilton had eight children. Remarkably for the time, all but the eldest, Philip, lived well into adulthood. Philip died in a tragic duel in 1801, defending his father's honor. Alexander only gave his son one bit of advice for the duel, that being to fire into the air.
William S. Hamilton. William Stephen Hamilton (August 4, 1797 â October 9, 1850), a son of Alexander Hamilton and Elizabeth Schuyler Hamilton, was an American politician and miner who lived much of his life in the U.S. state of Illinois and territorial Wisconsin.