See these examples:
An extreme example of the Red Herring Fallacy is called the "Chewbacca Defense". From wikipedia:
Chewbacca Defense originated in the animated series South Park. The show satirized attorney Johnnie Cochran's closing argument defending O.J. Simpson in his murder trial. "Chewbacca Defense", meaning a defense consisting solely of nonsensical arguments meant to confuse a jury, has since been applied outside of references to South Park and has been integrated into popular culture slang.
In the episode, Chef discovers that Alanis Morissette's (fictional) hit song "Stinky Britches" is the same as a song he wrote years ago, before he abandoned his musical aspirations. Chef contacts a "major record company" executive, seeking only to have his name credited as the composer of "Stinky Britches." Chef's claim is substantiated by a twenty-year-old recording of Chef performing the song.
The record company refuses, and furthermore hires Johnnie Cochran, who files a lawsuit against Chef for harassment. In court, Cochran resorts to his "famous" Chewbacca Defense, which he "used during the Simpson trial", according to Gerald Broflovski.
Cochran: Ladies and gentlemen of this supposed jury, Chef's attorney would certainly want you to believe that his client wrote "Stinky Britches" ten years ago. And they make a good case. Hell, I almost felt pity myself! But, ladies and gentlemen of this supposed jury, I have one final thing I want you to consider. Ladies and gentlemen, this is Chewbacca. Chewbacca is a Wookiee from the planet Kashyyyk. But Chewbacca lives on the planet Endor. Now think about it; that does not make sense!
Gerald Broflovski: Dammit!
Gerald: He's using the Chewbacca Defense!
Cochran: Why would a Wookiee, an eight-foot tall Wookiee, want to live on Endor, with a bunch of two-foot tall Ewoks? That does not make sense! But more important, you have to ask yourself: What does this have to do with this case? Nothing. Ladies and gentlemen, it has nothing to do with this case! It does not make sense! Look at me. I'm a lawyer defending a major record company, and I'm talkin' about Chewbacca! Does that make sense? Ladies and gentlemen, I am not making any sense! None of this makes sense! And so you have to remember, when you're in that jury room deliberatin' and conjugatin' the Emancipation Proclamation, [approaches and softens] does it make sense? No! Ladies and gentlemen of this supposed jury, it does not make sense! If Chewbacca lives on Endor, you must acquit! The defense rests.