Spitting Image was originally going to be called Rubber News, until someone pointed out that a certain 'specialist' publication also had that name.
Some celebrities were so desperate to appear on the show they sent in photos of themselves in a hope the puppet makers would use the images to create a puppet. Jeffrey Archer apparently sent in a range of photographs of himself.
Leon Brittan and his wife Diana once complained to John Lloyd about the fact that Leon's puppet had five warts on his face when in real life he had only three.
Source: Frost On Satire