Well,
This is a delicate topic, I think, and there's no way I can really answer this without getting some correction by my Sorors,
so...
Basically, some "line names" are meant to be public, but some are private names bestowed upon you for specific reasons. The latter is true in my case--it was never meant to be public. My public name on my line jacket is Masquerade...
Hope this helps.
-Shela
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Finer Womanhood: the "Cat's Meow" Since 1920