In the opening, a red-haired woman is shot with an arrow in her back, then runs away with no arrow in her back, then is tackled and as she is thrown to the ground, the arrow is in her back again.
When the immigrants first appear, only one speaks English. When they do the polio checks, however, a woman with her back to the examiner immediately understands "pull your hair up," and a couple says "no have what you say!"
The idea that the family should go to Dallas to spend the night is absurd. Traveling at between 9 and 20 miles a day, it would have taken a wagon two days to get there.
Hells Half Acre was a small flood plane in a bend of the Trinity RIver - a dangerous slum at the edge of town. No average farm family would have stayed there. At the time, the population of Fort Worth was about 78,000 people and plenty of acceptable hotels and stables would have been available.
The steam locomotive has a Vanderbilt type tender. This tender wasn't build not for 1901 wen it was patented.
Brennan holds up poison oak and says, "This is poison ivy and poison oak. Don't step in it." But they are completely different plants with poison oak the more likely one they will encounter in the West.
Elsa describes the night-time smell of 1883 Fort Worth as being heavy with pollen, smoke, and flowers. Fort Worth was not an industrial town but a cow town with the largest and most active stockyards in the southern U.S. - which needed access to the railroad to be sent east and eventually west as well. Because of this, the stockyards were only about 100 yards or so from the railroad station. The place absolutely reeked of the dung of thousands of cows. While she might have smelled smoke, she certainly did not smell flowers.
Paying $200 to watch a wagon is beyond insane. In 2023 dollars that would come to over $10,000.
Margaret hits a man who was admiring Elsa, then takes her back to the car on which they were booked. There Clair says to Margaret "You will hit a stranger but not your own daughter." BUT Elsa's aunt was NOT in the first class passenger car which is where Margaret struck the stranger. Further, Margaret made no mention of her striking said stranger to Clair. Therefore, Clair did NOT know that Margaret had struck this stranger. Yet she made that statement about Margaret striking the stranger. Great line that it was, it was made in ignorance of the incident and so implausible.
Bill Elliot holds up an Oak Tree Leaf and claims it is the dreaded Poison Oak.... Poison Oak and Ivy both have 3 leaves.
James Dutton carries a Winchester Model 1885 "High Wall" with a telescopic sight - Winchester did not produce this rifle until two years after the show supposedly takes place.
When speaking German, one of the immigrants says "alles okay" to his fellow German speakers. The expression "okay" would not enter the German language from English until the 1950s, after the US WWII occupation of Germany.
In S01E01 when the fat drunk cowboy comes to his hotel room you can clearly notice the petroleum lamp having an electric bulb inside it.
Set in 1883, while the Duttons are in Fort Worth, a map is seen on the wall of an office. It clearly shows the unique outline of the State of Idaho, yet Idaho didn't become a state until July of 1890.
When James Dutton first arrives in Ft. Worth, he sees a vendor counting money, consisting of several large-size $2 and $5 bills. The $5 bills are 1880 "woodchopper" notes, so named for the image on the front. But the $2 bills are series 1890 notes, not produced until 7 years after the show's time period.