Other mistake: At the very end, when a man is painting the "F" of the city's new name on the water tower, with white paint, you can see that though the brush is white, and it is touching the surface of the water tower, no paint is left on the surface of the water tower. Nevertheless, the painter continues painting the letter in the next shot, even though no paint is left on the surface. (01:36:00)
Other mistake: In the attack on the jacales outside the Alamo, a Mexican soldier is shot and crawling on the ground. Crockett asks him his name just as he dies. Later at the Battle of San Jacinto, the same soldier is shown sinking below the surface of Peggy's Lake as a Texican strangles another soldier with his musket.