In her Television Archive Interview, Barbara Billingsley said the reason Jerry Mathers was rarely seen is that he really had Chicken Pox when this episode was filmed. All of his scenes were filmed the following week, after he got better.
Beaver names his pigeons after his two favorite teachers, Ms. Landers and Ms. Canfield. Ms. Landers, played by Sue Randall, is Beaver's teacher this season. Ms. Canfield, played by Diane Brewster, was Beaver's teacher in the first season of the show.