The wealthy socialite, John E. Carson, is a play on words and refers to television talk show host Johnny Carson, whom in real life was also wealthy and a known socialite.
Lee Meriwether, who plays Lisa/Cleopatra, played Catwoman in the 1966 movie as Julie Newmar was unavailable.
As the recurring role of Mayor Linseed (played by Byron Keith) on "Batman" was a pun on the name of then-New York City Mayor John V. Lindsay (1921 - 2000, mayor 1966 - 1973), so the character of Deputy Mayor Zorty (played by Tol Avery) in this episode was a pun on the name of then-Los Angeles Mayor Sam Yorty (1909 - 1998, mayor 1961 - 1973)
"Lisa Carson" was the maiden name of writer Stanley Ralph Ross' wife.
To tell Tut he has the ransom, John E Carson comes up with the secret phrase, "The sleet in Crete is not very neat." Tut, unimpressed, says. "I think he's got it." This is a joke on the musical "My Fair Lady," where Eliza learns to enunciate with "The rain in Spain falls mainly on the plain" and Henry Higgins' excited exclamation.