yup, with the head being the demoness Lamastu, the wife of Pazuzu, as far the lilu go. Judaism has many roots and was influenced not only by time by other faiths that it interacted with as it aged. Demons in judaism behave every similarly to the Djinn in Islam for example, as both emerged in a similiar region.
Lilith is an excellent example of how a type of spirit can change over the course of history. I don’t necessarily believe Lilith and Lamastu are the same, but it is an interesting trend as far as lore goes.