This article presents serious, potentially-damaging misinformation. The suggestion that using food treats to train undermines someone’s relationship with their dog is untrue and sanctimonious. If using treats is bribery, how is using toys, affection, playtime, etc any different? If that were true, it’d all be bribery on some level, and we would go back to beating dogs when they did the wrong thing rather than praising what they do right.
To train your dog to come when called, start on leash in a quiet area. Back away from your dog while enthusiastically telling her to “come!” Only give the command once, but be enthusiastic, and keep your body language relaxed and open. You can show your dog a treat to encourage her to head your way. Once she starts towards you, say “yes!” (or click) and reward her with a treat.
We really feel bad for her, because she isn’t a bad dog, her anxiety just takes over and we know this is not healthy for her. We don’t want to not take her out places either, because we also have another younger dog ( a pitbull mix) who acts very normal when out, and we would like to do things with them together. We would give endless amounts of desensitizing training as we are very eager to resolve this, but we are confused as to where to begin.

If my dog is able to focus and stay in-control, I reward him with a very high priority treat. For desensitization purposes, I usually bust out the really good stuff. I try to pick a highly aromatic or smelly treat that my dog loves, but does not usually get to eat. The smell will help to engage his nose, and further distract him from the source of his anxiety.

Training should be a pleasure for both you and your dog. Granted, there are often challenges as you work towards better manners but if you find yourself becoming frequently frustrated with your dog, it’s time to get help. Frustration is only a few degrees away from anger and you probably won’t be able to make progress trying to train your dog when you’re feeling upset.

Remember that training is an ongoing process. You will never be completely finished. It is important to keep working on obedience training throughout the life of your dog. People who learn a language at a young age but stop speaking that language may forget much of it as they grow older. The same goes for your dog: use it or lose it. Running through even the most basic tricks and commands will help them stay fresh in your dog's mind. Plus, it's a great way to spend time with your dog.