Well, here are some suggestions of my own:
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Landrada (after a saint as well as Frankish princess)
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Laurentia-
Laurentina-
Lauriana-
Laurina-
Lavinia (after a character from Roman mythology)
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Leandra-
Leocadia (after the Spanish saint)
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Leontina-
Ligeia (after a siren from Greek mythology)
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Liora-
Luciana-
Lucilia (after the wife of Roman philosopher Lucretius)
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Luciliana-
Lucilla (after a saint as well as Marcus Aurelius' daughter)
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Lucretia (after Lucretia Borgia)
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Ludwina-
LuellaBy the way, Lucille is my real first name... so it'd be so awesome if the next distro was named Lucilia or one of its variants.

"The only way to get rid of a temptation is to yield to it. Resist it, and your soul grows sick with longing for the things it has forbidden to itself." ~ Oscar Wilde