Is "Jane" some type of rock music icon?

Ive heard many songs refer to the name jane including Breaking Benjamin with the song Diary of Jane, The band Diary of Jane, and in the beginning of the song Bullet with Butterfly wings by Smashing Pumpkins. Is this just a coincidense or is this the name of some type of symbol, icon, or anything else?
Update: I said the band diary of jane on accident lol i ment Janes Addiction lol
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