Hearing, but Refusing to Listen

You probably are not as compelling as whatever she is doing or thinking about. Since we have had our fence put in, Sydney has found out where the rabbits used to live, and spends her entire time outside searching that area for them. Even in the rain. Their scent is more powerful than anything I have to offer her, apparently. The one thing I ALWAYS do when the dogs come to me, whether I have called them a hundred times or one time, is to talk to them in a happy voice as they are coming to me. I could be saying VERY mean things about them, like "You are the world's worst dog" but in a happy, high-pitched voice, so they do not ever become afraid to come to me. That way I get a little of my frustration out, but don't give them the message that it's not fun to come to mom. If they come on the first or second time I call them, they get a treat as soon as they are inside. With Abby, you may need to take her out on a leash or a long lead (30 feet) and let her get far away from you, then call her in a happy, happy voice. Stoop down to her level and open your arms so that you are inviting. Have some HIGH LEVEL treats, like a tiny piece of hot dog or bologna or cheese, not just dry treats, so she thinks that coming to you is the best thing in the world. You can reward Petey too if he comes right to you. Abby needs to be on that lead with you practicing until she has a fairly reliable recall. Once she is coming 3 out of every 4 times, try her off lead, but keep the same happy voice, inviting posture, and high level treats to reward with. If she doesn't come, don't play the game of going to her so she can dance away from you. Just turn around and walk back into the house. Give Petey a high level treat if he comes, as she will be able to see that, and may change her mind. If she doesn't do a good job of the recall off lead, switch back to an on lead recall, with all those goodies as reinforcement. It takes a lot of effort on your part, but will be well worth it once she has determined that coming to you is in her best interests. Under no circumstances should you ever yell at her or give off a negative body posture when she comes, even if you are very frustrated. All that does is give her a negative connotation to the word come, and make it feel not safe to come to you. Would you want to come back knowing that you were going to get yelled at or worse? Dogs can't reason the way that we do. Humans might think, okay, I'm going to get yelled at or hit, but what I am doing right now is worth the punishment. Dogs just think...oh, the last time I came in she yelled at me in a very loud voice, and stomped her feet, and bent over like she might hit me. It's not safe to come back when that happens. Good luck. I don't think it has anything to do with her not respecting you. She's just a dog, and hasn't seen any benefit to doing things your way yet.