From archived tv.com:

This was the last acting job for Tallulah Bankhead. She passed away December 12, 1968.

The song that Batman sings is from the Gilbert & Sullivan opera, H.M.S. Pinafore.

From archived tv.com trivia:

Music in the episode: 

"Sabre Dance", a cappella by Sheldon and Howard; "Blow the Man Down" by Sheldon and Penny; "She'll Be Coming 'Round the Mountain" by Sheldon and Penny; "I've Been Working on the Railroad" by Leonard, Howard and Penny; "Sixteen Tons" by Sheldon

From archived tv.com trivia:

The name of "Lisa Carson" was the real name of writer Stanley Ralph Ross's wife, while the name John E. Carson is based on Johnny Carson, who hosted NBC's The Tonight Show between 1962 and 1992.

Trivia from archived tv.com site:

-Lisa Carson is seen wearing the same dress previously worn by Ziva Rodann in her role as Nefertiti in Season-1 episode The Pharoah's in a Rut.

-In Tut's hide-out, there's a prop with a question mark left on it which was left over from the episode with the Riddler.

-Tut's speech: Friends, Egyptians and henchmen, lend me you ears. I have come to bury Batman, not to praise him.

King Tut uses his own version of Mark Anthony's famous soliloquy of Act 3, scene 2 in Shakespeare's Julius Caesar. Romans became Egyptians, countrymen became henchmen and Batman replaces Caesar.