Stewie's line "Shake me like a British nanny!" refers to Louise Woodward, a British nanny who was convicted of killing an eight-month-old baby by shaking it to death because it would not stop crying.
This marks the debut of Cleveland Brown's first wife, Loretta Brown.
When one of Lois' piano students makes an error, Stewie yells to him "E-flat, Salieri, E-flat!", referring to Antonio Salieri, a composer who was a rival of Wolfgang Amadeus Mozart.
As Stewie yells "Burn in Hell" towards Lois, she responds with "Hell. Hell has fire," indicating that she understood him, but it's no surprise, as everyone in the series understands him.
Peter says he's like Tim Allen because he has a criminal record and builds stuff, a reference to Allen's prison sentence for cocaine.