* A short form of names like:
* Lydia: Meaning "from Lydia" (a region in ancient Greece).
* Lyla: Meaning "night" or "dark beauty" in Arabic.
* Lia: Meaning "strong and independent" in Italian.
* Lila: Meaning "night" or "dark beauty" in Sanskrit.
* A unique name: Parents may simply choose "Lya" because they like the sound or the way it looks.
If you know the origin or family history behind the name, that might offer more insight.