Cute, but not frilly. It's not as old-ladyish as other forms of the same name, and can grow with the person.

Roxie is usually a short form of Roxanne, but spelled like this it could be nod to San Francisco's Roxie theater, one of the oldest continuously operating movie theaters in the USA. Its name Roxie, was probably copying the famed Roxy Theater in NYC.
See Also: Roxy, Roxanne

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