Though Alice has never been described in her clothing, Carroll lets us suppose she was dressed as girls used to dress at the time he wrote the novel. AIW was written in 1865, full Victorian era. Girls were thought good manners, including how to properly drink tea. *-*
I think japanese gothic lolitas started the "cosplaying" of Alice first. and especially due to the disney cartoon. Their clothes are inspired by Alice. Main characteristic of the Alice clothing are the puffy sleeves and skirt, the contrasting white apron with laces, white or black and white striped thights or socks, black mary-janes, and absolutely the black bow on the head!
Also, maybe the character of Alice itself is an inspiration for goths. She doesn't stop at appearance, I mean, she talks to a a weird cat, to singing flowers without any hesitation! And instead of being afraid, she get more and more curious about this weirdness. She isn't scared of telling her own ideas and she doesn't let herself be changed.
In my opinion , if Alice was written now, in modern era, she would surely be an alternative girl. She has her own ideas that she stands for though nobody understands her. She lives in her own world and wishes about a different world where people don't judge by appearance. She is herself all the time and she happens to go against the rules. If she was just a regular girl, she would have never been such an interesting character. And maybe it's this that inspired us to impersonate her.
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