Years ago I joined the mailing list for the (then) Stella Artois tournament.
You know when you have to put in your title, and there's normally a little drop down box with Mr/Mrs/Miss/Ms? Well, at Queen's club, the little drop down box includes the following options: King, Queen, Princess, Prince, Duke, Duchess...etc. Not sure if it's still the same now that Aegon have taken over the championships, but it sure was the case a few years ago.
As to the club itself: I was there yesterday, so they do let normal people in. Trouble is, you're far outnumbered by the society crowd who are there to be seen. The minute the Murray match finished yesterday they were deserting the courts to go the (private) buffet. Watch the coverage closely: it looks like they were standing up to applaud his win, but trust me, they weren't. They didn't even bother with the post-match interview.
The atmosphere at Wimbledon is nowhere near as bad. Queen's Club represents everything that's rotten in British tennis and explains a great deal about why we don't have more professional players.