 The western edge of the Canaan CDP drains west to Toddys Branch, which flows to the West Fork of Indian Kentuck Creek.Canaan began growing slowly with the establishment of John Warfield's farm in 1812.The first known use of the name "Canaan" is dated November 15, 1832, when Edwards Ayres advertised that he had opened the Bee Hive, a public house, 14 miles from Canaan and 12 miles from Madison.