This was Ken Osmond's first role (as "Harold Boggs") after playing "Eddie Haskell" on "Leave It to Beaver" which ended on June 20, 1963. Ken had his 21st birthday on June 7, two days before this episode's air date.
Playing Kate's old school teacher, Lurene Tuttle is actually a year younger than Bea Benadaret, who plays her former student. Tuttle and Benadaret were both veterans of "I Love Lucy." Here, Tuttle wears old age make-up; on "Lucy" it was Benadaret.