They are hanging all over a screen enclosure (bird cage) and I don't know what they are.They have tiny little pieces of stick and leaves attached to the outside of their bodies .they have been hanging there for about 4 months now .
What is this?
A clearer picture might help, LOL!
There's a fair amount of "wingless moths". Ususally female.
Chances are, yours is a Tussock Moth:
http://eny3541.ifas.ufl.edu/Tussock/Orgyia.htm
Or a Bagworm Moth:
http://www.oznet.ksu.edu/library/ENTML2/MF728.PDF
(It's not likely to be the dreaded Winter Moth, but they have wingless females also.)