They technically don't have to sit you with your children, it's the risk you take when you fly Southwest. I do know that they do everything possible, but people won't always move for you. On one of our flights from Long Island on southwest back down here to Florida, we got to the airport late and were in group C. We were not all together, though close in the back of the plane and there was nothing that I could do about it. People were already sitting down and with their kids and didn't want to make room for the 5 of us. We had no choice but to let our oldest sit by herself. Remember, people do allow their kids to fly unaccompanied all the time, so the airlines will only do so much for you.