At the time this aired, John F. Kennedy was president. When Lucy walks awkwardly into his office while stuck in a small rocking chair, a voice offstage comments that he's glad to see that he's not the only person who likes rocking chairs. Kennedy often used rocking chairs to help ease his back pain. He had one in all his residences and in Air Force 1, and also gave them as gifts.
Frank Nelson, who plays a train conductor, had also portrayed a train conductor eight years earlier on one of the highest rated I Love Lucy shows. Sometime in between, he played a cruise director on The Lucy Desi Comedy Hour.
The horse is named Annabel, which may be a tribute to "Annabel Takes a Tour" (1938) in which Lucille Ball comically falls from a horse.
When Lucy calls the operator, to place a long distance call to the White House, she states her number is Klondike 5-4320.
Alan Reed, who played the counterman at the cafe, was the voice of Fred Flintstone.