Shades of I Love Lucy:
When Lucy smashes Danny Kaye's cigar into his face, he says, "I'm just lucky she didn't set fire to my nose." In the famous I Love Lucy episode L.A. at Last! Lucy sets fire to her own nose while bothering William Holden. She also dumps a tray of food on Kaye's head at a restaurant just as she'd done to Holden in that same episode. In another reference to the previous series, Lucy tells Danny she can play "Glow Worm" on her saxophone. She'd croaked out that tune many times as Lucy Ricardo.
Lucy: Hey, the stars always have extra tickets! You could ask Mr. Crawford where I could get in touch with Danny Kaye!
Mr. Mooney: Knowing you, I would be reluctant to put you in touch with Mr. Ed!