When Davy's congressional opponent is giving his stump speech, a cricket crawls from the top of his shoulder down to about halfway down the sleeve seam in closeup. In the long shot, the cricket is suddenly back up on top of his shoulder before he brushes it away.
Davy Crockett dubs the presidential residence the "White House" based on a nickname he'd heard for it, following renovations overseen by Andrew Jackson. Jackson decides to make the name official. The name "White House" had been in general use for nearly two decades prior to Jackson's election in 1828 and was not made official until 1901 by Theodore Roosevelt.
While serving in congress, Davy asks George about his family. George tells him that "both" of his sons are doing well. By the time he was a congressman, Davy Crockett had 3 sons and 3 daughters.
When Davy Crockett's journal closes at the end, it closes on the title page "I Get Into Politics," the name of the adventure that has just ended. Title pages come before the story, not after it.
After his first wife's death, Davy Crockett's sons go to live with his brother and sister-in-law, and Davy is shown single throughout the rest of his life. In reality, Davy Crockett had a third child with his first wife, a daughter, and John Crockett and his wife moved in with Davy to help look after the children. The boys did not go to live with John and his wife. Davy remarried that same year, which gave him two stepchildren, and had 3 more children with his second wife.
When Davy Crockett addresses congress regarding the Indian Removal Act in 1830, the same people are in attendance wearing the same clothes as when he introduced himself to congress upon his election in 1824.
Stock footage of wildlife is used to supplement sequences involving wild animals. The footage is of a noticeably different quality than the new footage.
One of Davy's bullets can be seen in the mouth of the shooting match target board before the judge tries to fish them out, yet when the judge gets out his knife to dig for them, the bullet is no longer visible and both bullets have to be pried from deeper in the board.
During the shooting match, Davy's first bullet punches clear through the board so that daylight can be seen coming through from the other side. Even if his second shot went into the same hole, it would go clean through as well, yet the judge is able to take a knife and pull two bullets from the hole.
During Davy's fistfight with Big Foot Mason, several shots are sped up to make the combatants seem quicker, which has the effect of making their movements jerky and unnatural.
Charlie Two Shirts' baby is heard crying when the visuals show it not crying.
During the shooting match, Big Foot Mason tells his men to "charge up [his] rifle" and "put it two extra thimbles." Putting in extra gunpowder would not help with accuracy, and may in fact decrease it due to the extra kickback the powder would provide.
Norton tells Davy that President Jackson is in his second term and will have to leave office in 3 years. There were no presidential term limits until 1951 when congress passed the 22nd Amendment.