When Andrew Jackson Fite was born about January 1824, in Smith, Tennessee, United States, his father, Moses Fite, was 26 and his mother, Rebecca Avant, was 24. He married Mary Hindsley about 1845, in Tennessee, United States. They were the parents of at least 4 sons and 3 daughters. He lived in Manchester Township, Dallas, Arkansas, United States for about 10 years. He died about September 1888, in Dallas, Arkansas, United States, at the age of 64.