I would agree with the Bethlehem comment.
I do not like the nickname Babyl because it sounds like babble, though I like the spelling. Babylon is just nms, honestly.
I like biblical and science fiction references usually. However, go with
Bartholomew from the Bible or
Tiberius from
Star Trek if you want to go bold and nerdy.
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Momma to Clarisse Bituin Gioia and Nadine Marikit Irene. Mahal na mahal from our little family to yours!