Tagline: "Bicky-bi-be-bo-bo-bicky-bi-bo!" -Dale
In the initial storyline it shows Hank and Dale arguing by the sign, and Dale was not, at any point testing the fire alarm. Also Boomhauer did not have a lamp close to him to knock over, yet in all their stories these two things happened.
While Hank and the other guys are serving as pallbearers for Chet Elderson's funeral, they lose their footing just before reaching the dug-out grave when Hank's glasses (which had previously been stepped on and broken out of spite by Bill during a fight in the firehouse) fall off of his face and the four men end up falling into the grave after Hank attempts to retrieve his glasses and carry the casket at the same time (Dale was not supporting his side of the casket). Hank's glasses are shown to have landed at the edge of the grave. The next scene shows the four guys down in the grave and Hank is wearing his glasses again. Moreover, Hank's glasses are once again intact, whereas before they fell off of his face they had been temporarily repaired with tape.
When Dale, Bill and Boomhauer start fighting we see Hank fall on top of them but in the next shot he's underneath them.
in Boomhauer's version of the accident he speaks in a "normal" voice and Hank, Dale, & Bill are the the ones who talk too fast.
Boomhauer (talking about his version of the fire): No, no way, man. Ol' Gribble talkin' that crazy crap, man. I'll tell you what happened. Dang ol' truth, man.
Dale: Hey, tell you what, the dang ol' detector, man. Talkin' about government take away freedom of smoke, man. Tell you what, dang ol' yo, man.
Hank: Hey, man, I'll tell you what, man that dang ol' boy ain't right, man. Talkin' 'bout gonna kick that dang ol' ass, man.
Boomhauer: For G-d's sakes, Hank act like an adult, man. And keep it down, guys, will you? I'm trying to get through an article on vintage Camaros and I've been on the same dang page for 20 minutes.
Dale (talking about his version of the firehouse fire): Bill had his face buried in a french bread pizza. Hank was giving orders as usual, and Boomhauer thought being a fireman meant a chance to work on his tan. Of course, he didn't realize his tanning lotion had been replaced with some icy hot Hank bought for Peggy's humiliating groin pull. (chuckles) But then the fire alarm went off, and Boomhauer knocked over his tanning lamp as he bolted upright. I raced for the fire truck with lightning speed. ... uh... that's all I remember.
Hank: Shut up, all of you. Go to bed.
Dale: It's 4:00 in the afternoon.
Hank: What did I tell you about talking to me?
Bill: Stop the fighting! This is no way to honor the memory of Chet Elderson.
Dale: I think I shall honor Chet's memory by plugging in his beloved Alamo Beer sign.
Hank: You can't use the fire hose like this. You'll damage the elasticity.
Dale: Whatcha got under the foil, Mr. Party Pooper? Some party poop?
Bobby (as he has noticed that Peggy is limping; Peggy is denying any such limp): Well, maybe it's from when you pulled your groin picking me up.
Peggy: Well son, that is impossible, because ladies do not have groins.
Bill: I hear Mrs. Throckmorton's looking to hire four plumbers.
Bill: It's all the beer we can drink.
Hank: Uh, okay, I could use a beer.
Bill: My face hurts!
Hank: And it'll match your ass when I'm done kicking it!!
(The police have arrested Dale, Bill, Boomhauer and Hank after a building burned down on their watch)
Dale: My name is Shackelford, Rusty Shackelford. I refuse to speak without my attorney present! (Dale stands and takes off his hat) I am Mr. Shackelford's attorney, Rusty Shackelford. My client pleads insanity.
Bill: My name is Dauterive comma Bill - I am also insane.
(Peggy is limping around the house, but refuses to acknowledge she's hurt)
Bobby: Maybe it has something to do with when you hurt your groin picking me up.
Peggy: Well, honey, I do not think that could be true, since ladies do not have groins.
Dale: I am protesting the results of last night's ping pong tournament. Boomhauer can not bounce the ball off Bill's head.
Bill: We all agreed that my head is in play.
This was Buddy Ebsen's last role before his death.
The entire episode is based on what is called the "Rashomon effect" where a single event is witnessed by multiple invidivuals who each give differing but plausible accounts based on their own perspective.
After Hank asks if he can sharpen the axes Dale makes a joke referring to a Monty Python skit/song entitled The Lumberjack Song....Dale says "Hank's a lumberjack and he's okay."
The Three Stooges
Throughout the episode, references to The Three Stooges abound. Starting with the title, "A Fire Fighting We Will Go" is take off on the Stooge's short titled "A Plumbing We Will Go". The basic antics of Hank and the gang trying to be firefighters mirror the Stooges in many of their shorts. The song Dale keeps singing throughout the show is called "The Vowel Song", made by the Stooges for a record they cut near the end of their career. Bill's reference near the end of the episode about how there is an opening for plumbers somewhere else, after they are let go from the fire station, again harkens back to "A Plumbing We Will Go". The episode ends with the trailing notes of "Three Blind Mice", one of the themes used for The Three Stooges. Finally, note that in Bill's re-enactment of the accident, he's completely bald, just like one of the Stooges, Curly.