"I know I’ve seen fiction where it requires little more than cohabitation"
Emphasis mine. Merely stating you're husband and wife is "little more" in my book. It's pretty easy for people to think you're married, especially if you tell people you're husband and wife to make the conversation easier.
Yes, if you read that one sentence out of context of the immediately preceding one, and the post that the post it is in is responding to, I can understand your response.
Can’t really understand doubling down on claiming it is relevant after having the relevant issue pointed out again, but, you know, you do you.
Whatever. If you actually cared to think and reread, you would see there is more content and context than what you are selectively seeing. That one could in fact be common law married by accident given the NH law if they merely lived together and said they were husband and wife to make conversations easier, as others have admitted to saying in the comments. That's were you have a contradiction/inaccuracy in your comment. NH does not require any proof of shared intent, and with one party deceased they can pretty much rely on how things appeared to the general public, including if you just told people you were husband an wife to make things easier. But yeah, by your own words - you do you.