"Lilith" is a Hebrew word and is only found in one scripture in the Bible. Isaiah 34:14, (NKJV), "The wild beasts of the desert shall also meet with the jackals, And the wild goat shall bleat to its companion; Also the night creature (lilith) shall rest there, And find for herself a place of rest." No one knows exactly which night bird it was, so some Bibles use "screech own," "night creatures," "night bird," or "night animals" to translate lilith.
A myth has been built around this word. The myth names lilith as a female night-demon (or spectre) laying in wait to capture children. This myth probably has its origins in Babylon. Some Bible translators believed this myth and translated "lilith" as "night hag" or "night monster." Lilith may or may not be the name of a specific demon. But lilith was definitely not the name of Adam's wife.