All large-scale telescope facilities are constructed within a geographical, social, historical, and political context that includes nested layers at the global, national, and local levels. However, discussions about the geographic siting of astronomy facilities, for example, the communities in which they are embedded or the interactions between the facility and its locale, are uncommon in social science studies of astronomy, and no extant review focused on this gap in the literature. In this literature review and discourse analysis, we explore the ways in which research about astronomy facilities and their local communities has emerged, and the extent to which it focuses on the Global South. We find that literature addressing the social and policy aspects of astronomy facilities has an emphasis on the Global North. However, literature addressing host communities has an emphasis on the Global South. Broadly, the discourses related to host communities in the Global South have emerged from reflections on the controversies related to large-scale telescopes in Hawai’i, Chile, and South Africa. One common theme linking these discourses is that a focus on benefits at the national and international levels obscures a range of problematic power dynamics and outcomes at the local level. The notion of the Global South as an ‘empty space’ in which astronomical observation does not constitute impactful action amongst local communities, is challenged by discourses that centre local contexts, and challenged by discourses that employ conceptual frameworks with a focus on revealing power dynamics.