JK, you are almost certainly technically correct in that. But, I'll bet you $1 that there isn't court in the land that would uphold it.![]()
But to seriously try to lend assistance to Peanut111, I will say....
First a few questions and assumptions: 1) Is the neighbor walking the dog or does the dog roam free? I will guess they walk the dog as you said "the neighbor" uses your property.
2) Is this a road right of way that both of you have houses on or is it an access easement that runs through yours or theirs property? I will guess it is an access easement as you said that you "share a right of way".
If I'm wrong in my assumptions, please correct me. I would say that the access easement can not be used just as a dog walk. A driveway access easement can not be used for anything other than that; as a means of getting from house to main road. Thus, if they just walk Fido along your part of the easement and back then they are violating the law. But if they are definitely walking to the main road and then walking along the main road (i.e. using the easement as it was intended) but the dog still leaves cookies on your property while on the way to or from the main road, then I'm not sure that you can do anything about that.
That being said, I would be surprised if this is not addressed in local ordinances somewhere apart from property boundary law. A call to local planning and zoning might give you the information you need.
Stephen

