Anna Wintour has agreed to let filmmakers shoot a documentary about life at Vogue as they put out their huge “Fashion Bible” September issue. (And Vogue editor-at-large André Leon Talley marched with the Reverend Al Sharpton at the Sean Bell demonstration.) A dead deer was found on the lawn of Dick Cheney’s residence, the U.S. Naval Observatory, though the veep probably didn’t shoot it. A woman who had an affair (and a kid) with Knicks legend Willis Reed in 1990 claims he is a deadbeat dad. (And New England Patriots coach Bill Belichick has an adultery scandal of his own.) The girls at Scores East Side say Lindsay Lohan was awkward working the pole when she came in with Kate Moss one night, express surprise that she got a movie role as a stripper. A 29-year-old woman is claiming to be the illegitimate daughter of Mel Gibson. “Page Six” prints a nasty item about Keith Olbermann, mentions his one-night stand with a fan, notes that his audience is smaller than Bill O’Reilly’s. Shocking. Former Secretary of State James Baker, Democrat Warren Beatty, and Republican Merv Griffin all got along in Iraq for one night, though it was probably the booze. Tennis great Chris Evert is dating golf great Greg Norman. Bruce Springsteen got some lovin’ from Nick Lachey so he could go home and brag to his daughter. Led Zeppelin lead singer Robert Plant tried to get flowers sent to Atlantic Records founder Ahmet Ertegun, but the receptionist he talked to didn’t know who Ertegun was. “Page Six” asks, “Which ‘socialite’ has high-society circles buzzing that she originally joined their inner circle as a high-class hooker?” (Really, who is it?) A woman popped Valium on a transatlantic flight to London with Courtney Love.