We used the method, "Toilet Training in Less Than a Day" with both our kids, and had similar results with both. My husband worked with our son (because I was nursing and was unavailable - darn! :) ), and I worked with our daughter.
We took a day, and spent several hours working the method described in the book. With both children, it was apparent they knew what we were talking about - they both are very bright for their ages. However, they just didn't care. You'd ask if they were wet, and they'd say no when they were and yes when they were dry. They just weren't into potty training. However, we invested that one day (maybe 4 hours or so), and then dropped it for a while (a month or two). Then, one day we got the kids up, asked if they wanted to wear big boy/girl underwear. They were all gung-ho, and that was it. They were trained. Each had a couple accidents, but seriously, that's it. My SIL spent a good 6 months or more trying to train their daughter who is about the same age as our 2nd child, and had TONS of accidents and power struggles. We never dealt with any of that. Ironically, we did the one day method at the same time as she started trying to train their daughter, and ours was trained first. That was with giving up for a month or two and not even attempting to get her on a potty. As a side note, within the first few days, we stopped even asking if they needed to use the potty, because they would just tell us when they needed to go. My neice took probably 8 months before she consistently told someone when she needed to go.
In summary, I would definitely recommend the book. You'll probably be able to use a LOT of the info, with some updates for the 21st century. :) Your daughter may or may not train in a day, but if she responds as mine did, she'll at least have the mechanics down, and know what she's supposed to do. That way when she is ready, it will be a lot smoother than your eldest. :)