In the quote from Lewis Carroll's "Through the Looking-Glass and What Alice Found There," Alice is depicted as a mysterious and elusive presence that continues to linger in the narrator's mind. The phrase "Still she haunts me" suggests that Alice's image or memory is persistent, almost ghost-like, evoking a sense of haunting and longing. The imagery of her moving "under skies Never seen by waking eyes" emphasizes the dreamlike and surreal nature of her existence, as something fantastical and outside normal reality.

This passage captures the whimsical and dream-inspired essence of the story, where Alice embodies a limitless and imaginative world that exists beyond everyday perception. Her phantom-like qualities symbolize the enchanting and mysterious qualities of her character, as well as the enchanting possibility of other worlds that only exist in dreams or fantasies.