I looked into NYSDOT's RIS viewer and their local highway inventory and two things are clear to me: they do not have these mapped in a way that makes sense either, and this is likely because they are not public roads maintained by the town.

Without any further information it's hard to fix this mess, but I have made a first attempt. Using lots of satellite images, and assuming the addresses to be correct, I mapped the area in a way that is hopefully a little closer to reality. It's hard to know for sure the details of which forest covered dirt roads are which, so we will ultimately still need a local to go and survey the area to see if and how they are marked.