The title is from the old saying "A bee in the bonnet," meaning highly agitated or upset.
Rather than having incidental music composed and arranged specifically for the cartoon, this is one of six Warner Brothers cartoons featuring a non-thematic soundtrack due to a musicians' strike. It was scored by John Seely of Capitol Records using stock music from the Hi-Q sound library.
Lacy's Department Store is a play on Macy's in NYC, the same way J. C. Denney is a play on J. C. Penney. And when Sylvester falls into the open manhole, a voice resembling "The Honeymooners" character Ed Norton is heard.
The Holland Tunnel still provides motorists an under river throughway from Lower Manhattan to New Jersey, where Granny presumably lived in this short.
At the time of this short, hats were still a part of women's street and dress attire. Future First Lady Jacqueline Kennedy would further popularize the trend.