- The title is a parody of the NBC sitcom My Two Dads.
- On the FOX website, the teaser details states, “This week, the manatees picked out topic balls reading 'Peter’s real father lives in Ireland and Peter goes there to find him'", a reference to South Park episodes "Cartoon Wars Part I” and “Cartoon Wars Part II".
- Peter tries to bury his dad in the Pet Sematary, a reference to the film and novel by Stephen King.
- When Peter visits Thelma, she asks if he was back to return the TV set, and he replies he sold it for crack. This mimics the relationship between Harry and Sara Goldfarb in Requiem for a Dream.
- When Peter discovers his biological father is in Ireland, he performs the transformation spin into Wonder Woman as done by actress Lynda Carter in the Wonder Woman TV series.
- When Peter sees his father in a ghostly vision alongside Obi-Wan Kenobi and Yoda, Hayden Christensen appears in Jedi robes, a reference to the 2004 DVD changes to Return of the Jedi.
- Once Peter smokes the crack, Brian finds Peter hugging a pillow and lying on the floor saying the government took away his baby. This is parodying the film Losing Isaiah, where Halle Berry is a drug addict who has her baby taken away.
- At the end of Stewie’s fantasy about Lois beating him, he says “I love you Mommie Dearest!” This is a reference to the 1981 film and the biography by actress Joan Crawford's daughter Christina.
- Peter exclaims, “Oh my God! I could’ve had a V8!” and slaps himself in the forehead. This is a reference to the series of commercials for V8 vegetable juice that played in the 1970s and ’80s, and again in 2007.[1]
- Meg says, “Come back soon, Daddy, I love you,” and Peter replies, “That’ll do, pig. That’ll do.” This is a reference to the book and film Babe.
- Peter flies to Ireland on JetGreen, a parody of JetBlue Airways. However, an actual airline based in Ireland used the name during its short period of operations.
- “Mickey McFinnigan” is a pun on “Mickey Finn,” a drug commonly administered in alcoholic drinks, and Tim Finnegan and Mickey Maloney, two alcoholic men in Finnegan’s Wake.
- In the scene when Stewie is being tortured by Lois, Stewie yelling “thank you” repeatedly is a reference to Little Shop of Horrors where Bill Murray’s character loves pain and goes to get a root canal for pleasure.
- Peter’s line, “So what? So let’s dance!” is a reference to Rodney Dangerfield’s line in Caddyshack.
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