I would imagine each hotel chain has their own forms with their specific logo on the form.
Here is what I found when searching for the Marriott CC Authorization Form:
Here's what I learned, 1450kiewit! You can get a credit card authorization form either by contacting the hotel directly, or contacting the reservations department at 1-800-228-9290. Also, forms from any other company is unusable.
Hope this helps! Let me know if you have any additional questions