weeping tree

from The Collaborative International Dictionary of English v.0.48

Weeping tree \Weep"ing tree\
   (a) Any tree having pendulous branches.
   (b) A tree from which honeydew or other liquid secretions of
       insects drip in considerable quantities, esp. one
       infested by the larvae of any species of the genus
       {Ptylus}, allied to the cuckoo spits, which in tropical
       countries secrete large quantities of a watery fluid.
       [Webster 1913 Suppl.]