I see on 1880 US Census: New Lisbon, Stoddard, MO William Prader, 19 TN, son Father:not given, b in Georgia Mother: Sarena J. 44, TN Elizabeth Hall, d, widowed, 24 Miss. Charles, 19, TN John H. 1870, TN
1900 US Census: William Prader 28, wife Sara 25 MO Tom 5, Charley, 3, 2, Sueanny, 11 sister; Pike, Stoddard, MO
1920 US Census: William T. 42, Dara 29... unless census taker very off in birth ages, this Dara/Dora must be a second wife, but then could still Sara and misspelled.
Given the clues in the 1880 census, perhaps you can find the father in Tennesee, where several children were born i.e. William, Charles and John.