Mfalme Wa Mars

Jane Carter, American Civil War Confederate veteran is mysteriously transported to the planet Mars where she finds herself aiding 15 foot Thark warriors in their battle against the red Helium.  With the super-human abilities granted her by Mars's reduced gravity, she swash-buckles herself through danger and adventure pursuing her prize, the handsome prince of Mars, Dejak Thor.
This is Edgar Rice Burroughs's pulpy 1917 novel A Princess of Mars presented with male and female gender roles reversed.  Changes have been made for consistency and several illustrations accompany the text.