...from Burl Ives, most are on topic:

          "Blue Tail Fly"
          "The Boll Weevil"
          "Lavender Blue (Dilly Dilly)"
          "On Top Of Old Smoky"
          "Polly Wolly Doodle"
          "Big Rock Candy Mountain"
          "Sweet Betsy From Pike"
          "The Fox"
          "Woolie Boogie Bee"
          "Mr. Froggie Went A-Courtin'"
          "I Know An Old Lady Who Swallowed A Fly"
          "Get Along Little Dogies"
          "Aunt Rhody"
          "Goober Peas"
          "The Riddle Song"
          "The Ballad Of Davy Crockett"
          "Waltzing Matilda"
          "The Gray Goose"