While developing computational language documentation tools, researchers must center the role of language communities in the process by carefully reflecting on and designing tools to support the varying needs and priorities of different language communities. This paper provides an example of how cross-cultural considerations discussed in literature about language documentation, data sovereignty, and community-led documentation projects can motivate the design of a computational language documentation tool by reflecting on our design process as we work towards developing an annotation and data management tool. We identify three recurring themes for cross-cultural consideration in the literature - Linguistic Sovereignty, Cultural Specificity, and Reciprocity - and present eight essential features for an annotation and data management tool that reflect these themes.