Name Lilith

Hebrew (לילי) which actually means - "night monster, nightly, nocturnal; owl".

Lilith - female or male nisba adjectives from the proto-Semitic root L-Y-L denotation - "night", literally translating to "female night being/demon", although cuneiform inscriptions where Līlīt and Līlītu refers to disease-bearing wind spirits exist.
Another possibility is association not with "night", but with "wind", thus identifying the Akkadian Lil-itu as a loan from the Sumerian lil, "air"-specifically from NIN.LIL, "lady air", goddess of the south wind (and wife of Enlil) - and itud, "the Moon".

Lilith is believed to have originated as a female Mesopotamian storm demon associated with wind and was thought to be a bearer of disease, illness, and death. The figure of Lilith first appeared in a class of wind and storm demons or spirits as Lilitu, in Sumer, circa 4000 BC. The phonetic name Lilith is traditionally thought to have originated in Ancient Israel, and to have pre-dated at least 700 BC.
In Jewish folklore, Lilith is the name of Adam's first wife, who was created at the same time and from the same earth as Adam. She left Adam after she refused to become subservient to Adam and then would not return to the Garden of Eden