York and his wife Grace had eight children, six sons and two daughters, most named after American historical figures: Alvin Cullum, Jr. (1921-83), George Edward Buxton (1923- ), Woodrow Wilson (1925-1998), Sam Houston (1928-1929), Andrew Jackson (1930-), Betsy Ross (1933- ), Mary Alice (1935-1994), Thomas Jefferson (1938-72) [REF].
After York's death, his wife sold most of the York farm to the State of Tennessee.