I live in the country, too...and I have sympathy for your neighbor!!! Sorry, but you should NOT let you dog bark every time you're there! Our neighbors let their dogs bark...apparently it doesn't bother them. We get irritated, too, and quite frankly, I've considered doing exactly what your neighbor did. When we have company they ask us how we can stand it. One day the neighbor asked me if the dogs bothered me and I said yes. Since then they've kept them under control. Your dogs could be barking at a rabbit, chipmunk or a bear or intruders. They need to be taught to bark ONLY when something is trying to enter your home (I know - hard to do). If a bear is on your property and intent on doing damage, your dog's barking will not stop the bear, but only make it angry and possibly cause it to hurt your dog.
So have consideration for the neighbor, apologize to her for your dog and she may apologize for her actions, keep your dog under control and your time in the weekend place will go back to being enjoyable.