This paper provides a review of past and present research in interactive storytelling in relationship to children. It investigates the field of Interactive Storytelling for Children (ISC) along multiple perspectives, considering theoretical approaches, design methodologies, and technological solutions that regard children as interactive story authors. It highlights how ISC draws significantly on principles, methods, terminology, systems, of two more consolidated disciplines, Interactive Digital Storytelling (IDS), and Interaction Design for Children (IDC). Finally, the paper attempts to identify the peculiarity of ISC as an autonomous discipline and pinpoints some research challenges of this domain.