After Bat Masterson leaves the newspaper office with the armful of printed papers, he meets Doc Black, who knocks the papers out of his hands during their confrontation. The long shot of the pile of papers in the street shows far fewer than Bat was originally carrying.
Wyatt Earp meets Bat Masterson in Wichita for the first time and Bartholomew calls himself "Bat" when introducing himself. Bat started using his shortened name later in life and they met for the first time in Dodge City, Kansas, not Wichita, per Bat's own memoirs.
Wyatt Earp was never a Marshal of Wichita; he was a just an officer who was assigned to the city's Delano red-light district. Disliked by others on the force for his quick temper, he padded his earnings by killing stray dogs for their bounty and was fired after only two years for his role in a corrupt political campaign.
When the cowboys leave the saloon to shoot up the town, Gyp Clements (Lloyd Bridges) tries twice to fire his gun in the air. Both times it either misfires or is empty. The clicks can be heard in the audio. One would assume a cowboy would not "hurrah" a town with an empty six-shooter.
In the shot of the train pulling into town, there are clearly modern telephone and power poles, with transformers, near the tracks.
When the cowboys are shooting up the town, a street light in the foreground is shot out. It's not a gas lamp, but contains an incandescent light bulb, despite it not being invented yet.
When Waytt first enters Wichita, he is walking down Main Street and mountains can be seen in the distance.
When a saloon girl is wounded in the riot, the hotel clerk tells Wyatt there are no doctors in Wichita. But one of the lead characters in the film is town elder Doc Black.