The question mentions the five stages of plot; however, I would like to point out that the five stages of plot are typically exposition, rising action, climax, falling action, and conclusion. The question doesn't include exposition. Instead, it includes "turning point." The turning point is often synonymous for climax.
The exposition of a story is the story's introduction. It introduces major characters and setting. In Lyddie, readers are introduced to Lyddie right away. We see her defending her family and her home from an inquisitive bear. The story's exposition does a great job of showing readers that Lyddie is an incredibly strong leading character. She's brave and quite capable. As for the setting, Lyddie lives in Vermont during the Industrial Revolution.
Any story's rising action is generally comprised of more than a single event. That's true in Lyddie. There are many rising actions. Lyddie's family sells the farm, and she is forced to work at Cutler's Tavern. She gets fired and decides to become a factory girl. She helps the carriage get unstuck. Once in Lowell, she gets a job and is overwhelmed at the speed and noise of the machines. She eventually becomes one of the factory's top-producing girls, all while fending off her boss's sexual advances. Lyddie gets injured while on the job, and she is forced to train new working girls.
Lyddie's standing up to her boss for the sake of another girl in the factory is what leads to the story's climax. The climax is Lyddie standing up to Mr. Marsden's sexual advances toward another factory girl and subsequently being fired.
The falling actions of this particular story go quite quickly. Lyddie is blacklisted from the factories, and she visits a bunch of people, including Diana and Mr. Marsden. Next she returns to Vermont, where she is proposed to by Luke.
The story's conclusion is Lyddie's answer. She does not agree to marry him right away, but she does want him to wait for her. Lyddie's primary goal and plan is to go to college. She will then likely return home to marry Luke.