In Which Sheroes are Concerned

I have been reading an anthology on Girls in myths around the world and will probably add various other posts related to this:

I noticed that many of the girls (sheroes) prevail not in physically awesome deeds like Hercules (although some do), most are instead heroic due to their persistence and wit and ability to learn.

Many of us became aware of the "original" version of Little Red Riding Hood in American Literature (The cute little fairy tale became a story to keep girls from sleeping with strange men). Yet, even that version is not the most original. The oldest the editor could find had what we were told, but more. In the end, Little Red Riding Hood is traveling yet again to her Grandmother's when a wolf attempts to stop her. She keeps going to her Grandmother's house, where she tells her Grandmother about the wolf. They prepare themselves with an axe and other weapons. When the Wolf arrives, they kill him themselves. The girls learn from their first experience and save themselves the second time.

There are many stories of the sheroe finding herself in an unenviable position and using her brain and wit to get out of the situation, and often finds herself in a better place than when she started.

Thus, it leaves one to wonder...are the qualities of a HERO different from a SHEROE? Are they different because of perceived differences? or do they hold true in life. That due to actual differences between men and women, they use what comes naturally to them to do what must be done?