Continuity mistake: When Lilith arrives at Frasier's, she is moving her hands, rearranging her wrap and her purse is in her left hand. Without time for her to change it, in the next shot her purse is in her right hand.
Continuity mistake: When Lilith and Frasier are in the hotel room, Frasier's shoes are on the floor by the chair, neatly arranged. When he says "that's very impressive, Dr. Sternin" and walks away, the shoes are not in the same position anymore.
Answer: Nanny G (Nanette Guzman - played by Laurie Metcaf) has been a children's entertainer for twenty years, and tells Frasier, "Do you know what it's like to play the same character for 20 years?!" The joke is that Kelsey Grammer has been playing Frasier Crane since 1984, when the character first appeared on "Cheers", so Kelsey in real life has been doing just that!
Super Grover ★