My son was a challenge to potty train. We tried several things before trying the naked method. We saw quick progress once we started the naked method. However, "naked" in our case didn't mean entirely without clothes; it meant naked next to the pp. In practice, we would dress him in shirts too big (hence long) and no pants, and let him behave as normal around the house.
When we had setbacks with the pull-ups in public, they were usually due to him not wanting to miss out on anything while off using the potty. I found that, in my son's case, he was not motivated by "big boy underwear", even if it had enticing designs, and even though he agreed it was more comfortable. He preferred the pull-ups so he wouldn't have to be bothered going to the potty while fun things were happening.
What we found helped (besides time and prayer) was having his friends over for play dates while he was clad only on top. In these situations, he was presented with the nakedness motivating him not to mess himself, plus the enticement and distraction of having fun with friends. We found that these situations gave him practice in being aware of his need to go use the potty despite having company and fun and games happening. Because these play dates were at our house, and with peers who were just ahead of him in potty training, it was a safe setting in which he could learn.
As another commenter wrote, every child is different, and I've observed that boys on the whole are harder to potty train than girls; so what worked for my son may not help with your daughter. Still, if you have friends with children nearly the same stage of potty training as your daughter, play dates while using the naked method might be a useful practice period and transition aid. If you dress your daughter in long dresses for such visits, no loss of modesty need occur.
