I found this book on page 53, it says: "Gertrude Eacher, daughter of George Herkimer, was the wife of Jacob Eacher, brother of the George Eacher who fought a duel with young Philip Hamilton, son of Alexander Hamilton.
A summary of the duel states that: "Eacker and Richard Price took the field first at Weehawken, on November 22. They exchanged shots, but no one was injured; according to convention, honor was satisfied. Philip Hamilton stood next against Eacker, on November 23. Hamilton fell to a ball from Eacker's smoothbore dueling pistol. Eacker was uninjured; Philip Hamilton died a day later."