We find out Stewie's full name is "Stewart Gilligan Griffin".

Cheezie Charlie: We have many flavors of ice cream: vanilla, strawberry, chocolate, human...
Peter: What was that last one?
Cheezie Charlie: Chocolate.

Chris: Hey birthday dude you want some Ice Cream?
Stewie: Yes. But no sprinkles! For every sprinkle I find I shall kill you.

FOX & TBS & Cartoon Network Adult Swim Version
Brian: Well Peter, you've only got a couple of hours left. If you're gonna pull a party out of your ass, you may wanna stand up.

CW Network Version
Brian: Well Peter, you've only got a couple of hours left. If you're gonna pull a party out of your butt, you may wanna stand up.

Peter: Hey Lois, look! The two symbols of the Republican party. An elephant and a big fat white guy who's threatened by change.

Stewie: (to ticket agent) Now look here...
(looks at agent's name tag) Jo-LENE. I have an army to raise and I must get to Managua at once. I require a window seat and an in-flight Happy Meal. BUT NO PICKLES. OH, GOD HELP YOU IF I FIND PICKLES.

Stewie: What do you want?
Man in White: I want to get the hell out of here!
Stewie: Oh, I'm sorry, We're fresh out of that, but what I can give you is UNTIMELY DEATH!

Stewie: The ruptured capillaries in your nose belie the clarity of your wisdom.

Stewie: Am i to spend the entire day wallowing around in my own fecies? (claps his hands) A little service thank you!

Peter: Meg, you're home late.
Meg: I stayed after school to try out for cheerleading.
Peter: Well, don't keep me in suspense. How'd you do?
Meg: I'll give you a hint. I S-U-C-K-E-D! Sucked! Sucked!
Peter: Yay! Oh, I mean, sorry, honey.

Man In White: What the hell is this!?!
Stewie: It's a boy! (zaps man in white)

Peter's watch appears and disappears during the scenes at Cheesy Charlies & the scenes with the cult

When Stewie is born in this episode, we see his head is the same Watermelon shape as usual. However in "Stuck Together Torn Apart", we learn that Stewie's head did not become it's odd shape until later on in life when he hit his head on the cealing. However, it could be argued that the constant flashbacks do not affect the continuity of the series.

When Meg introduces Jennifer to Lois, we see that Meg is wearing glasses. In the next shot they dissapear, then reappear as they are leaving.

Peter uses a double-barreled shotgun to shoot the Hanson brothers, and gets 6 shots out of it. However, in real life, this gun only fires 2.

When the Griffin's are talking about Cheesy Charlie's in the living room, Stewie is way out of porportion.

When we see Stewie from afar writing about how escaped Lois' 'wretched womb' we see he's wearing his standard red overalls & yellow shirt, but when the shot closes in, he's wearing his blue pajamas

When Stewie's voice lures the Man in White to the closet he opens the door and sees the baby monitor is hanging inside.
The view inside the closet show the speaker facing away from him, but when the shot changes to over his shoulder suddenly the monitor has turned around and is facing him. This could be explained by a free swinging monitor but as seen, there's no kink in the cord indicating it has turned.

The title for this episode “Chitty Chitty Death Bang” is a take off of the title of the 1968 film “Chitty Chitty Bang Bang”

Meg: “God I hate high school, I don't fit in with anyone.”
Peter: “Boy do I know that feeling.”

Peter trying to dance with the group of guys is a reference to the Broadway show & 1961 film “West Side Story”

Lois: “I haven't seen Meg this happy since that bus broke down in front of our house”

The tour bus belongs to the musical group “Hanson”, best known for their 1997 song “MMMBop”

Peter: “Holy crap! It's the children of the corn!”

(Obvious) Reference to Stephen King's 1984 horror movie “Children of the Corn”

Stewie: “As I recall it was every potential man for himself”

Stewie's memory of escaping the womb is a reference to the Death Star Battle from “Star Wars: A New Hope”, including using the same laser fire from the movie

Cheesie Charlie’s is a parody of the family entertainment pizza eatery, “Chuck E. Cheese” whose slogan is "Where a kid can be a kid"

Kid: “Alright I won a watch... what's the Dukes of Hazzard”
Peter: “Hey! That's mine”
Voice over: “The folks in Hazzard County hadn't seen a watch fight in a good long time. Them boys wrastled a full five minutes before the manager stepped in”

Reference to the TV show “The Dukes of Hazzard” that ran from 1979 to 1985, including a similar narrative voice over done by Waylon Jennings .

Stewie reads “Soldier of Fortune” magazine

Peter: “Oh please don't make me angry pal, you wouldn't like me when I'm angry”

Peter uses the same line spoken by the character David Banner played by Bill Bixby in “The Incredible Hulk” (1978-1982), including turning into the Hulk who was played by Lou Ferrigno

Brian: “You are the Spalding Gray of crap”

Reference to the American actor, screenwriter, performance artist, and playwright Spalding Gray (1941-2004). Spalding was known for writing elaborate enthralling stories & Peter is equally an expert at telling ridiculous lies.

Brian: “Some day”

A reference to “Purina's Chuck Wagon” dog food commercials from the 1970's

Peter: “Crafty swine.”
{knock-knock}
“UPS.”
{Door opens}
“Little bastards ain't as smart as OW!”

Aside from the obvious allusion to the classic, “Three Little Pigs” story,
Peter getting hit in the face with a paint can is an allusion to the 1990 movie “Home Alone”. The character Kevin McCallister (played by Macaulay Culkin) does the same thing to Marv (played by Daniel Stern)

Talk show host and arts and crafts guru Martha Stewart is mentioned in this episode

Stewie: “Stewart Gilligan Griffin runs from nothing”

In this episode we learn Stewie's middle name is “Gilligan”. “Gilligan” is the name of the bumbling main character (played by Bob Denver) from the tv sitcom “Gilligan's Island” (1964-1967)

Stewie: “As for you, kind sage, I only hope my heartfelt thanks will keep you warm as you spend the next ten years in frozen carbonite!”

A reference to 1980's “Star Wars: The Empire Strikes Back”, in which the character Han Solo (Harrison Ford) became frozen in carbonite

Heaven Helper's Youth Cult is a parody of the real life cult “Heaven's Gate” that committed mass suicide on March 26, 1997.
“The Man in White” is a also a parody of the group's leader Marshall Applewhite

Actor & comedian Paul Reiser's book “Couplehood” is added to the poison punch

Meg: “Oh daddy, you must think I'm the worst daughter ever.”
Peter: “Aww no you're not honey, what about that fat girl from the Judds.”

The girl Peter is referring to is Wynonna Judd who, along with her mother Naomi, were the country music duo “The Judds” from 1983 to 1991

Peter: “...and trust me, you did not want the one of Al Roker w/ the Hersey Kiss nipples”

Al Roker is one of the anchors of the NBC morning talk/news show “TODAY”

Man In White: “I want to get the hell out of here”

The Man in White's line is the same as the Cowardly Lion from 1978's “The Wiz” after he's asked by the Wiz “And what do you want, you overstuffed animal cracker?”