What makes you say the roosters are close to OP and not close to the roosters' owner?
The only distance I see mentioned is this:
It looks to me like the roosters are 450 feet from OP's house, and that 450 feet includes a road and trees. I do not see any mention of where the neighbor's house is, whether the roosters are close to it or not. I do not see any mention of property sizes either.
Just because OP said it's a very rural area. Living in a very rural area ourselves, most of the places we see around are larger plots. If the roosters are by the road (which can be quite small) and the neighbors house is not in between them, that means there is another side to the property, because you can't build a house within a certain number of feet of the plot line, and in the country those setbacks get bigger. Especially because a lot of agricultural areas have ecological protections as well.
So, it was an inference made on available data, could be wrong

