To continue with the angel-bird association, there is a detail in Guadalupe's depiction: a small angel under her feet. Some say it is a portrait of Juan Diego. It is interesting that the wings are green/white/red, such as the Mexican flag. The colors of the wing represent three virtues (Faith, Hope, Charity), while the colors of the flag correspond to the secular version of those virtues (Hope, Unity, Blood of the National Heroes).
A legend says that Juan Diego, when coming to Tepeyac, heard the bird tzinitzcan (or trogon) singing. It occurs in Mexico, but not only, and has the same three colors. Recently, it has been proposed as a national bird.