Good questions! A related topic, there is a lot of speculation about angel wings as some
classes of angels are described as having wings and others are not, as they appear as
normal humans, yet they are always pictured as having wings. One theory is that everything
that can fly is depicted as having wings, as to bronze age man only wings give flight, see?
Now, I have 2-3 theories about Lilith’s wings. One is that as She was accused of flying by
immoral means (which She did not do) She was given real wings as compensation ‘like for like’.
Second Theory is that the world She was taken to when Adam was taken to the Garden
required wings, so She got them then. As I am sure She is still alive (being immortal, or close?)
but NOT on Earth as that is too dangerous for Her. Third Theory is that when She travels in the
Astral Plane She has those wings (but not Her physical body, wherever She actually lives).
Now, as to the accusation, as I told Littlefield01 in this thread, She is confused with Lilu Demons.
EDIT: Also She is confused with Lamashtu same root word?
ALL FALSE allegations, but not sure if the root cause is just mistaken identity, or defamation.