What might explain why the Dutch believed that they had more of a claim on New Amsterdam than the British?

The Dutch believed that they had more of a claim on New Amsterdam than the British is:

They were the first one to claim the land.

Back when territories between countries still haven't been settled, the one that first settle the territory will have control over it.

answer; i believe the correct answer is (the willamete valley);

imma say false because i dont know anything about this.