Read: Maureen Birnbaum, Barbarian Swordsperson, by George Alec Effinger (2013-70)
Ahem. Let me start again.
This is a silly book. A very, very silly book.
It begins when a preppie girl named Muffy Birnbaum (from the Greenberg School, no less) winds up on Edgar Rice Burroughs's Mars, or Barsoom. Over the course of nine stories, Muffy -- pardon me, Maureen -- visits a variety of worlds: ERB's Pellucidar, the future of Robert Adams's Horseclans stories, Asimov's Lagash (from "Nightfall"), Sherwood Forest, somewhere on the outskirts of Arthurian Britain, Lovecraft's version of Yale, and a near future Moon.
Did I mention it was silly? Because it is.
Oddly for something as silly as this, Maureen also develops as a woman and a heroine, from the airheaded preppie of the first story to a self-empowered feminist with a knack for helping those in need.
And it's very very silly.