This episode's title alludes to "My Fair Lady" - a story about a young woman who goes from street smart to regal elegance.
At 6 minutes Ophistus says of Lilith "Yes I think she's got it" as he echoes Professor Henry Higgins praise of Eliza Doolittle in "My Fair Lady".
At 9:39 as Iolaus fails in his chicken disguise, he turns aside and says "Sometimes I don't know why I crossed that road" which does NOT answer the question "Why did the chicken cross the road?".