Re: The real story
It's "The Men From the Ministry"
(Might as well quote Wikipedia here).
"The series was about lazy, bungling, incompetent civil servants, "Number One" - Roland Hamilton-Jones (Wilfrid Hyde-White) and later Deryck Lennox-Brown (Deryck Guyler), "Number Two" - Richard Lamb (Richard Murdoch), with their dim, typo-prone, teenage secretary, Mildred Murfin (Norma Ronald), all watched-over by the lecherous, pompous, self-seeking Permanent Under-Secretary Sir Gregory Pitkin (Roy Dotrice and later Ronald Baddiley), all members of the British Civil Service based in Whitehall. The stories centered on their General Assistance Department ......... which helps other governmental departments. Instead of assistance, the department creates mix-ups, misunderstandings and cock-ups that lead to a telling-off from Sir Gregory, who sees his 'hard earned' Civil Service career and pension disappearing.
In one 1960s episode, "The Big Rocket", General Assistance Department is put in charge of publicity for Britain's almost non-existent space programme....."
Rings a bell ?