We booked the Sonoma Room through our sales coordinator (the person who handles your contract before you get your planner). Our planner handled all of the details for us. Only DFTW, conventions, and FL residents can book the CG private rooms, so you will definitely have to go through DFTW. Depending on where you are in the process, contact your coordinator or planner and just let them know you want to book the room. You can call CG directly, but they will not allow you to book. They actually called our coordinator at DFTW who then contacted me! The number is 407.828.3200 in case you need it.
Narcoosee's is different as anyone can book and there is no private dining room. Narcoosee's has their own booking process. This number should put you through to whoever books at Narcoosee's: 407.824.1400.