His house is in the village though (2)
Why does the owner of the woods live in town and not near his woods? And have you ever heard of someone owning woods? We've heard of people owning land, but owning woods seems like an entirely different matter. When we hear the word "woods," we think of an untamable, wild expanse. With this second line, our speaker draws a clean line between the village and the woods. They are like oil and water.
He will not see me stopping here (3)
Our speaker is one paranoid man. The way he uses the word "see" instead of "catch" or "find" or "discover" makes us think that he is worried that someone might be hiding in the trees, watching him. There's also something very forceful about the words "will not," as though the speaker is commanding the landowner or reassuring himself that no one is watching. In any case, our speaker seems to want pretty badly to be alone.
The little horse must think it queer To stop without a farmhouse near (5-6)
We might think it was a bit strange, too, if you stopped in the middle of nowhere. At least there's a horse around. And this is not just any horse – this horse is very humanlike in our book. This horse has thoughts and opinions. Our speaker is not entirely alone.