Really, now? I figured JB's comment was in jest.
I'd never sue an animal owner that was truly mortified their pet attacked me and was responsive to making it right. By the way you described the woman in question? Absolutely!
If someone refuses to accept responsibility, they should be forced to do it. Imagine if the next person that dog attacks is a small child? I wouldn't want that on my conscience, knowing I could've done something about it.