Check out these bird head profiles on a building at the Late Classic Mayan city of Uxmal (about 850-1100 AD). You can see the long beaks (looks like trunks), as well as the eyes and mouthes (below the beaks). There are a lot of speculations about these birds, but we still struggle to know exactly what they are or what they represent. Scholars call this bird the Mayan Principal Bird Deity. Which just mostly means we are still trying to figure it out.