Contact across long distances is evident in the Neolithic of the Near East, whether driven by social networks, exchange links, or movement of individuals or populations. Movement of material, such as obsidian, can elucidate these processes but is often studied within a bounded world that places Mesopotamia at the center. This paper focuses on links that cut across the traditionally imposed boundaries between Northern Mesopotamia and the Caucasus. While Armenia is one of the world's most obsidian-rich landscapes, reports of Armenian obsidians in Northern Mesopotamia are scarce. The confirmation (or lack thereof) of these rare reports has important consequences regarding the movement of people, material, and information out of the Caucasus. As discussed here, all but one report either cannot be corroborated or are demonstrably erroneous. For one archaeological site, data processing methods led to overlaps in the signals for different obsidian sources. For another site, one element used in source identification suffered from unsystematic error. For other sites, data and key details went unpublished at the time. To corroborate past work that had identified Armenian obsidian at Domuztepe, 66 artifacts were newly sourced by electron microprobe analysis and confirmed by portable X-ray fluorescence. This sample was biased toward artifacts potentially from Armenia. Our analyses revealed that 15 artifacts match Pokr Arteni, one of the most used