"The Ballad of Davy Crockett" was written by George Bruns (not Burns!) and Thomas W. Blackburn, both of them artists working at Disney Studios. There were actually three versions released close together: one by actor Fess Parker, this one by actor/singer Bill Hayes, and one by singer/actor Tennessee Ernie Ford (most memorable today as "Cousin Ernie" from the TV series I Love Lucy). Since Hayes' version went #1, we'll award the crown to him.
Of course, this song existed to market Disney's 1955 film Davy Crockett, King of the Wild Frontier, which was based on the already-successful Disney TV series Davy Crockett. In fact, Disney was doing everything it could to stir up "Crockett fever," including marketing coonskin caps. Of course, the Disneyland theme park had "Davy Crockett explorer canoes" in the Tom Sawyer's island area as well.
This song, and the coonskin cap that became its emblem, are briefly referenced in the film Back to the Future, which is after all set partly in 1955.
What! Did you think that Davy Crockett was a myth, a mere American folk legend akin to Paul Bunyan? For your information, he was a noted frontiersman, soldier and politician, who served in the Texas Revolution and died at the battle of the Alamo. Not to mention serving as a member of the US House of Representatives for two terms, Tennessee's 9th district 1827-1831, and Tennessee's 12th district 1833-1835. OK, we'll grant you that, kind of like an early American frontier Chuck Norris, the tales about him got a little tall - we'll forgive you if you're skeptical about ursine slaughter at age three. But he was a real man whose real signature is on real US government documents and whose real ashes are somewhere in the Alamo vicinity (Santa Anna was sloppy with his grave-marking), and even has a real town in Texas named after him.
Oh, the actor... we mean singer... Bill Hayes is also better known for his role as "Doug Williams" on the NBC TV soap opera Days of Our Lives.