The shade of peach shown here approximates the color of the interior flesh of that variety of peaches known as white peaches.
The first recorded use of peach as a color name in English was in 1588. (photo Wikipedia)
In 1962 Crayola changed the color Flesh to Peach. For years (and perhaps even to this day) the story behind the change was that the “name was changed voluntarily in 1962; partially as a result of the Civil Rights Movement.” Perhaps Crayola should put it that there were only three colors ever renamed for social situations.
The color had now gone from Flesh Tint to Flesh to Pink Beige back to Flesh and now to Peach.