Final answer:
Aaron Burr was married with one daughter, while Alexander Hamilton was married with eight children. Their dispute ended in a duel where Hamilton died and Burr's political career was ruined.
Step-by-step explanation:
The family situation of both Aaron Burr and Alexander Hamilton is not described in detail in the referenced materials, as the content focuses mostly on their political careers and rivalry.
However, it is well-documented historically that Aaron Burr was married to Theodosia Bartow Prevost and had a daughter named Theodosia Burr Alston.
On the other hand, Alexander Hamilton was married to Elizabeth Schuyler, with whom he had eight children. Sadly, their professional rivalry culminated in a fatal duel where Hamilton was mortally wounded, ending his life and significantly tarnishing Burr's political career.