Alexander Hamilton and Aaron Burr may have dueled in Weehawken, New Jersey, but they also both left their mark on Greenwich Village. At the end of the 18th century, Burr began buying up land around Bedford and Downing Streets for his Richmond Hill country estate (a Federal rowhouse here recently hit the market for $5.75 million). Hamilton’s connection is much less glamorous: On July 12, 1804, the day after the duel, he died in the home of his friend William Bayard. According to a plaque on the building, this took place at 82 Jane Street, where a listing for a $3,495/month one-bedroom also backs up the claim. But historians say Bayard actually lived a block north on Horatio Street.