The Crossing - S1-E4
Factual error: The Dutton camp as well as Shea Brennon and Thomas are using modern thin Teflon/non-stick coated coffee mugs/pot.
Character mistake: Captain is warning German travelers about poison oak and ivy, but holding up the leaf of an oak tree.
Plot hole: When the bandits attack the pioneer's wagons they are chased on horseback by the Captain, Jack and others for quite a distance until Ennis is killed in the confrontation with one of the bandits. In the following scenes Elsa is mourning over his body but her mother and others from the wagon train stroll up and the wagons are in the background-all this after a fairly long chase.
Factual error: Horses tied behind Elsa seem to be wearing nylon flat halters that weren't invented until Feb 1894.
Factual error: After deciding not to cross the Red River, they go west. Shae warns of two things: lack of water and having to cross the Brazos River. But to the west, there would be plenty of tributaries of the Red River to supply water. And since they would be traveling west between the Brazos and the Red River, there would be no need to cross the Brazos. Further, if they did cross the Brazos, they would find themselves south of the Brazos, where they would be forced to turn around to cross again.
Continuity mistake: After the horse race with Sam, Elsa and Sam are talking with bright high sun and shadows on Elsa's face. Moments later the the sun is low on the horizon in clouds. Then later in the same scene the sun is high and the strong shadows are on her face again.
Factual error: The bird Elsa is talking to when she died is a Eurasian (ring neck) dove, not in North America till the 1980s.
Continuity mistake: When the trio encounter the law officers from the Wyoming Stock Growers Association, it starts snowing while they're talking to each other. After the gun fight, it's sunny.