In God We Strongly Suspect - S2-E13
Continuity mistake: When David and Maddie are in the mortuary and David is rambling about birthdays, he licks birthday cake icing off his finger and removes said finger from his mouth. In the next shot, the finger is back in his mouth.
Answer: The show's title, "Moonlighting" was a take-off the agency's name, the "Blue Moon Detective Agency." The owner, Maddie Hays, a former model, renamed it after a shampoo brand she was once a spokesperson for. She did not hire her partner, David Addison. He already worked at the agency when Maddie took it over. The agency was struggling financially, and David convinced Maddie, who knew nothing about being a detective, that if she made him a partner, they could make it successful. Agnes, the receptionist, had a very quirky personality, and simply chose to use rhymes when answering the phone.
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Also, the term "moonlighting" refers to someone who works a secondary job, usually at night. Maddie was a former model whose career had waned and the detective agency became her other career.
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