Mrs. Thurman's house was said to have been built by her late husband. The same house a few episodes back, Haunted House, was said to have been built by its owner, Amos Pike.
Laura states at the end that they used the dishes every night after that, yet you never see them again.
In episode 2:3 Ebenezer Sprague warmed up to the Charles Ingalls and his family due to the childish charms of Laura Ingalls. Sprague even had dinner with the family. In this episode Sprague treats Ingalls like his usual self.
When Mary and Laura hide behind some tree branches to sneak up to the Widow Thurman's house, duct tape holding the branches together is visible.
When the new china is shown, it is the "Blue Danube" pattern, which was not developed until the mid-twentieth century.
The old china pattern is called Blue Danube from Japan circa 1947-51.