There is a painting of FDR called the Unfinished Portrait that was being painted as he was stricken with the stroke that took his life in April of 1945 yet this episode was set in the September of 1934.
When John-Boy is calling home and Ike Godsey answers the phone, you see Ike wearing a wedding band. At this time in the series, Ike was not yet married.
In the bridge scene at 44:00, a palm tree is visible in the upper left (the show takes place in Virginia).
The school the Walton children attend is shown on the inside to be a one room schoolhouse with about 12 students, half of which are the Waltons. But, on the outside the building is shown to be a lot larger than one room.
Miss Hunter says the new student, Andrew Clark, is from Penn State. Penn State is not a town but a school. Penn State is in State College, PA.
Throughout the show, when Olivia is getting ready for bed, she takes her hair down and braids it. Yet when she wakes up in the beginning of this episode, her hair is already in it's French twist hairstyle.