Greek origin of Lila/Lilah - General Name Discussion

Hello, I am interested in the Greek origin of the name [name]Lila[/name]/[name]Lilah[/name]. A lot of different websites say it’s Greek, but I can’t seem to verify this at all. I would like to know the actual Greek word it comes from, like λ… (in Greek letters).
[name]Just[/name] like [name]Sebastian[/name] is derived from σεβαστός for example. Any ideas? Thanks so much!

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