When Meredith calls for, and receives, a new deck, he has no chips in front of him. When he is shuffling the deck his chips reappear on the table.
As a commentator pointed out in the Trivia sections, some players state that they will "call", and then state that they are raising the bet. A player cannot call and then raise; the player would have to "see" the previous bet and then raise it. A player can only call when the betting has reached its culmination and cards will have to be shown.
Sam Rhine says that the five richest men in the territory are in the back room playing for blood. Texas was never a territory. It went from being an independent republic directly to statehood. At the time the movie is set, circa 1880, Texas had been a state since, Dec. 29, 1845.
After Meredith gives his poker hand to Mary, she exposes the bottom card in her hand just before she closes the door to the card room. The card exposed is the ten of diamonds. Later, when she reveals her hand to C.P. Ballinger, the banker, all five of the cards in her hand can be seen, none of which is the ten of diamonds.
The character "Doc" was played by Burgess Meredith, however in the closing credits his name was spelled "Burgess Meridith".
When Habershaw first sees Mary coming out of her room, his mesmerized look begins before the door is even open.
Toward the end of the movie, the banjo players are playing five-string banjos which didn't exist until well after the turn of the century.
The songs in the final scenes, "Ma Blushin' Rosie (Ma Posie Sweet)" and "Hello, Ma Baby" (aka "Telephone Rag") were both written around 1899-1900, whereas the action in the film takes place around 1880.
In the opening sequence, modern day tire tracks can be seen on the trail as the carriage speeds west.