It's genuine and was called a Legacy West Hobo. By 2003 when this one and the other 2 you linked to were made,
Coach had pretty much stopped making purses in the US except for a few all-leather styles. There's nothing suspicious about either location as long as the production dates match the appropriate plant codes.
Keep in mind though in your future shopping that ANY "Coach" with any of the Signature C fabric patterns on the outside that say on the patch that they were made in the United States are always fake. None of the famous C pattern bags were ever made here.