FredsGobblers
Songster
If your city does have an ordinance banning poultry then animal control can and should be able to remove nuisance animals from your property and issue a citation to animal owner. Most states do have a statute about animal trespass and that is a civil matter. I would continue calling animal control every time since they are causing property damage and safety concerns. Along with the other suggestions you may want to speak to a lawyer about your options. Suing for property damage, physical and emotional distress plus lawyer fees and court costs could be very costly to them.