Moll Kiah's Run was named for Molly Kiah, great grand daughter of Governor William Bradford. Major William Bradford's younger son was Hezekiah Bradford, nicknamed "Kiah", which name he was called even in deeds. There were several Mary or Molly Bradfords so, to distinguish them, his daughter Mary or Molly was called, as was the custom, Mary or Molly Kiah. The run or trickle of water drained some of Mary Bradford's inherited lands, and so received its name. The cranberry bogs built in the vicinity drained the Run of much of its water, and now the newly built Route 3, Mass. Highway, which cuts across the valley where the run was , has completed the demolition of Moll Kiah's Run at its eastern end.

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