broken or cut branch that is hanging in a tree.
Merriam-Webster Online Dictionary
hanger (noun)1.
one that or causes to be hung or - hangs hanged
2.
something that hangs, overhangs, or is suspended as
a) a decorative strip of cloth
b) a small sword formerly used by seamen
c) chiefly British a small wood on steeply sloping land
3.
a device by which or to which something is hung or hangs as
a) a strap on a sword belt by which a sword or dagger can be suspended
b) a loop by which a garment is hung up
c) a device that fits inside or around a garment for from a hook or rod - hanging