Where L. M. Montgomery diverges from comics (and we can’t see she was inspired by them; comics hit their stride after the publication of Superman, who didn’t come out until almost 30 years after Anne of Avonlea) is that she stuck with a single character, Anne, for at least another four books (until Anne turns 40), and three further books that featured Anne in a diminished role (until Anne turns 75).
Anne changes with the world around her – and feels the impact of the world. Anne of Avonlea takes place in the early 1880s, when Anne has become a teacher at Avonlea. Anne is as imaginative and creative as she was in Anne of Green Gables and wants to do right by her community. She starts the Avonlea Village Improvement Society which has some mixed success – but hey, they try!
Still, Anne is not done growing; she is only in her late teens and wants to experience more of the world. She knows what she wants to do next: college!