If her dogs are noisy as well, I'm puzzled as to why she'd complain. I'm not sure what your relationship is, but I would be to talk to her, point out that your birds aren't the only animals in the neighborhood making noise, and express your hopes that all can live in peace. I can't imagine a noise ordinance that wouldn't cover ALL species, not just birds. She is probably so accustomed to her dogs noises that she doesn't notice it any more. Maybe she needs to be reminded. As SR said, the first thing I'd do is document the other "critter" racket in the neighborhood, specifically hers.