Dr. Quinn put the town in danger when she burned the furnishings of her Clinic in the center of town. She is being a hypocrite to be upset that Brian started a fire in town. She used fuel in her fire.
Sully tells Michaela that he was angry at his father when he died. Previously, he told her that his father died when he was too young to remember him. He couldn't remember being angry at his father if he was too young to remember the man.
In the store, they are gathered around a cardboard box. The first cardboard box wasn't made in the US until 1895.
Nobody calls the sheriff when a kid skips school.
At the 16:44 min mark, Sully has uncharacteristic yellow underarm stains on his white shirt.
Michaela had no fence round her garden to keep out deer or rabbits, let alone the milk cow.
Katie is wearing a plastic diaper with elasticated leg cuffs, a 20th century innovation.
All the windows are lit up when Sully is building the doll house. Dr. Quinn and Sully would not waste fuel to light empty rooms.
Anthony has an illness that is exacerbated by exercise. He would be hesitant to run to hop a train.
Anthony and Brian were sitting on the railroad as the train approached. The train engineer would have seen them. The train engineer would have been alert to the two boys hopping the train.
Sully's reaction to Brian skipping school is put of character. He is the understanding parent.