Repeated Names are Clues, Not “Proof”

I’m working on a man named Andrew Trask who had a sons Edward and George and a daughter Harriet. There is a man named George living near where he did in the 1840s who can’t be his father, but that George had a daughter Harriet. That George had a brother Edward and a sister Harriet. There’s enough name “connection” to make me think that my Andrew probably has a connection to this family, but that name connection is not proof.

Just a clue that I need to follow.