They sent letters to each other a couple of times. Many would agree that there is a classic story of the homosexual tensions bubbling just beneath the surface between Hemingway and Fitzgerald, so maybe there you could find room for jealousy. Both of them had strong perceptions of what it meant to be gay, and they stated how to interact with their gay friends. Perhaps if they had worked together, they could have done more for this, let us call it "project".
One of the ways that Lyddie changes is in her attitude towards education. Over the course of the story, she comes to understand the value of formal learning, improving her reading skills by tackling more challenging books and setting herself the goal of attending Oberlin College. Initially, Lyddie arrived at the mill with the sole purpose of providing for her family. But in setting herself the ambitious goal of attending college, whole new vistas of opportunity have opened up to her. To a large extent, Lyddie had been forced to live her life prior to this point through her family, putting their needs ahead of her own. But by the end of the story, Lyddie's come to realize that she's an individual in her own right with her own life to lead. This is another important change that she experiences.