dog verses Property Invasion, Damages, Trespass

i have 2 husky mix dogs, registored and current on shots, they are 11 months old. i live on a 112 acre farm and let them most of the time have run of the place, been trying to keep tabs though seeing my female got hit by a car, and was sued for 750 dollars for a 1/2" crack in the bumber, needless to say i didnt pay anything for it in the end. well got home today, cop came and said my dogs chewed someones cat up, ladie called said vet bills are 118 dollars. and might be more since they r keeping it over night, which i think is unneeded. she says was on her property, nobody else say anything, so am i haveing to pay this bill now, and over night charges for i dont think they should of allowed. i understand i more likely will pay something but her cat was outside and unrestrained also. would like any adivce