I assume from the question that you are referring to the "old west" of America around the late 1800's. One myth of the old west as you put it might be the portrayal of the Native American peoples. All in all, the image of native americans is skewed in that not all native people truly fit the "hollywood" image of the "indian." Much of what people know of native americans is really only true of the culture of of a few tribes... mostly those that resided on the Great Plains region. Things such as hunting buffalo, teepees, bows and arrows, etc. were in truth only relative to tribes such as the Lakota (and other Sioux people). Still today, however, many people still attribute all of these aspects to all Native Americans.