The killer of Alexander Hamilton is Aaron Burr. The dueling grounds were in <span>Weehawken, New Jersey, time of date was </span>July 11, 1804. Alexander, and Aaron had fought in a dual, and this had lead to Alexander being severely wounded.
They would want to live in the Roman Republic because it's a republic, Meaning they can vote and come up with their sort of own rules. In a monarchy the rules are pretty much decided for the people. In turn a republic, in this case the Roman Republic, would be more appealing to a citizen.