From someone who has listened to 3 big dogs bark for 3 years. Our neighbors seem to be oblivious to the situation, never appologize or even mention it. And absolutely don't try to do anything about it. I actually did request a rooster when I ordered my chickens just for spite because I'm sick to death of their dogs barking at nothing, all hours of the day and NIGHT. I thought a roo would bother them some, if only a little bit. After weeks of trying to figure out which one was my roo, I now realize that I don't have a roo after all - they are all hens...don't mean to rant but her dog is not your problem! Anyway, I sympathize with you. This is a hard situation. Thank goodness the dog hasn't gotten loose and came after your chickens. Good luck with your situation but above all else her dogs barking is not your problem. If its bothering her that bad she should do something about it. I'd love to buy shock collars for the ones next door to me, as long as I get to hold the remote. 
