Spur Line to Shady Rest - S1-E1
Visible crew/equipment: After Bedloe thinks he's fired Sam, he exclaims, "Well, if this isn't the nuttiest," and when it cuts to Charley and Floyd helping the Bradleys, there are three chalk T-marks visible on the ground.
Betty Jo's First Love - S1-E23
Visible crew/equipment: While Billie Jo and Bobbie Jo are dancing with their dates, when Betty Jo stands up and tries to get Orville's attention, the shadow of the moving boom mic is visible at the top, right corner of the screen. (00:19:05)
Visible crew/equipment: While Uncle Joe is outside Drucker's store, when the two women approach him, there are two T-marks on the ground where they stand. (00:03:10)
Spur Line to Shady Rest - S1-E1
Continuity mistake: When the Cannonball is preparing to leave, Uncle Joe has his hat. When the scene cuts to him helping Kate onto the Passenger Car, his hat is suddenly missing and nowhere to be seen.