There are barely any towns or villages in the Sonoran Desert, but there are many Native Americans still, such as the Pascua Yaqui/Yoeme, Seri Tohono O'odham, Gila River Indian Community, and the Cocopah. There is one building I know of in the Sonoran Desert, the Sonora Desert Museum. The building has been at the "entrance" at the Sonoran Desert in the Arizona area.
My source was Sonaran Desert Museum.org