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Lastly, she pictured to herself how this same little sister of hers would, in the after-time, be herself a grown woman; and how she would keep, through all her riper years, the simple and loving heart of her childhood; and how she would gather about her other little children, and make their eyes bright and eager with many a strange tale, perhaps even with the dream of Wonderland of long ago; and how she would feel with all their simple sorrows, and find a pleasure in all their simple joys, remembering her own child-life, and the happy summer days. (Wonderland 12.63)
Alice's sister imagines childhood as part of the cycle of life. Even though Alice herself won't always be a child, she can hold on to the memory of her childish adventures and tell the story to her own children. By doing so, she'll hold on to her own "child-life" in some way.