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It's clear that there is some confusion among these three names and they aren't definitive. But historically, Oxon Creek started where Oxon Run and Barnaby or Winkledoodle Run began and the two created Oxon Creek. This naming may have fallen out of favor, but that's what Oxon Creek is. NPS still calls the trail along this portion the "Oxon Creek Trail" so it is still in some local use.