This was Lucille Ball's way of repaying Benny for his appearance on "The Lucy Show" on September 28, 1964. "Lucy and the Plumber" (S3;E2) featured Benny as a plumber named Harry Tuttle, who also happened to be a Jack Benny doppelganger.
Jack makes his entrance dressed in formal white tie and tails to introduce his guest Lucille Ball. To Jack's chagrin, Lucy comes out dressed as her hobo 'professor' character from 1951's "The Audition" (S1;E6), even getting on her knees pretending to be a trained seal (something she also did in "The Audition").
Writer Sam Perrin also wrote four episodes of "Here's Lucy" between 1969 and 1971. George Balzer co-wrote 5 episodes of "Here's Lucy," two with Perrin.
NBC's lead in for this show was "Bob Hope Presents The Chrysler Theatre" (S2;E1) which featured one of Lucille Ball's favorite character actor Reta Shaw. It aired opposite "Gomer Pyle USMC" on CBS, which was filmed on the Desilu lot. The Monday (October 5) after this Friday broadcast, "The Lucy Show" aired "Lucy and the Winter Sports" (S3;E3). The syndicated rebroadcast date for this Jack Benny Program was September 2, 1976.
Lucille Ball often said that there was some Ball blood in George Washington since his mother's maiden name was Mary Ball. On a 1973 episode of "Here's Lucy" an antique chair is said to have belonged to George Washington at his Mount Vernon home. Earlier in 1964, Lucy Carmichael dressed up as George Washington in "Lucy and Viv Open a Restaurant" (S2;E20).