Paper Mulberry (Broussonetia papyrifera) Division - Magnoliaphyta Class - Magnoliopsida Subclass - Hamamelidae Order - Urticales Family - Moraceae Genus - Broussonetia Paper Mulberry is often classed as a "weed tree," mostly because it grows very rapidly. As can be seen from the first photo, it can also grow under the extreme conditions of cracks in the urban landscape. Weeds Taxonomic List List by Scientific Name List by Common Name