She sounds like a real winner! My neighbor's dog was all over the country (I live in a rural area, and "neighbor" can be anyone within a 10-mile radius). Her response was, "These dogs think their territory is everywhere" or some such thing. She seemed completely unconcerned that her dog would go several miles from home.
Well, I would be concerned, but that's just me. Even so, these LGD's seldom cause problems for other people unless they just don't like dogs. If anything, the dog is likely keeping predators out of the area and the neighbors could be getting the benefit of that. Now, if someone is out hunting, I can see where an LGD wouldn't be welcomed as they will likely scare the prey away.