When Beaver goes back to talk to Miss Canfield, the pencil she's holding shifts position. In shots from her right, she's holding it with her left hand in a writing position, right arm on the desk, while close-ups have her handling it with both hands.
June tells Ward she didn't go to Beaver's school to meet with Mrs. Rayburn (leaving it to Ward to handle) because Mrs. Rayburn was her teacher and she is still a little afraid of her.
While Mrs. Rayburn/Doris Packer is only 11 years older than June/ Barbara Billingsley, Rayburn could still have been June's teacher.
While Mrs. Rayburn/Doris Packer is only 11 years older than June/ Barbara Billingsley, Rayburn could still have been June's teacher.