When the grandmother refers to him as one of her own children, The Misfit shoots the grandmother right away: "She murmured, 'Why, you're one of my babies. You're one of my own children!
However, when she hears the Misfit's voice almost quiver with emotion, the grandmother's "brain clear[s] for an instant." She then reaches up to touch him and calls him "one of [her] babies." As the grandmother realizes, she truly loves the Misfit just as much as one of her own children. Despite coming from a bad family, she believed Misfit of being a good man.
Given the situation, her comment might seem inappropriate or even crazy, but this is actually the grandmother's most rational moment in the narrative.
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