This paper examines the emerging concept of hybrid intelligence, the collaboration between humans and AI, and its growing importance in sensemaking processes across diverse organizational contexts. While hybrid intelligence offers significant potential for progress, the integration of responsibility into this collaborative framework remains a crucial challenge. Current research often explores human and AI aspects in isolation, neglecting the combined responsibility in AI-human collaboration. This paper argues that responsible hybrid intelligence is essential for realizing the full potential of hybrid intelligence. This paper responds to the calls on existing literature to how narrative responsibility can be embedded into hybrid intelligence and be a core component of responsible hybrid intelligence. We followed a concept-based literature review to develop a typology exploring how narrative responsibility manifests in different forms of hybrid intelligence, addressing the gap in current literature and contributing to a deeper understanding of responsible AI-human collaboration.