"Kentucky Woman" is a 1967 song by Neil Diamond. It went to number 22 in the United States, number 10 in New Zealand, number 6 in Canada and number 58 in Australia.
Another well known version is the 1968 single by Deep Purple. It was taken from their second studio album The Book of Taliesyn. It went to number 38 in the United States, number 21 in Canada and number 27 in Australia where it was released as an A-side to the single Hush.