Btw, how many people knew who the Comedian was in the Graphic Novel? Metropolis calls him Edward at one point.
Presumably, all of the Minutemen knew: we're certainly shown Sally using Eddie's name quite openly in front of them all just before that unpleasantness in the trophy room. It's reasonable to assume that Cap. Metropolis, Sally herself and agent Laurence Schexnayder would have known from the very start what the true identity of the brash sixteen year old they were recruiting into their ranks was, and the young Blake himself would then no doubt have revelled in making sure the rest of his new crimefighting colleagues knew exactly who he was as he bragged about his prior teenage exploits.
Not everybody knew everyone else, though. Nobody ever knew who Hooded Justice really was, and Sally didn't know - or more to the point care - that The Silhouette was called Ursula Zandt.
In later years, Dr. Manhattan, the Vietnamese hooker he shot, Laurie Juspeczyk, Adrian Veidt and Moloch knew The Comedian's true identity for varying lengths of time prior to his death, with Rorschach and Dan Dreiberg only ever finding out shortly after he went sidewalk diving. Presumably, a lot of the high ranking guests at that banquet in 1973 thrown in Blake's honour were also aware of his alter ego, the likes of VP Ford (and although absent that particular night, Nixon too), G. Gordon Liddy and the other unidentified government hanger-oners courting Blake's attention. In addition, it's entirely probable that the unidentified military man first seen saluting then throwing earth onto Blake's coffin, plus the other walkie-talkie carrying security spooks attending his funeral also knew the truth about the man now in the ground.