Research in human-drone interactions has primarily focused on cases in which a person interacts with a single drone as an active controller, recipient of information, or a social companion; or cases in which an individual, or a team of operators interacts with a swarm of drones as they perform some coordinated flight patterns. In this position paper we explore a third scenario in which multiple humans and drones collaborate in an emergency response scenario. We discuss different types of interactions, and draw examples from current DroneResponse project.