***** NOT A TEACHER *****
(1) I agree with SoothingDave: usually you need the definite article.
(a) It would sound mighty strange to say "I stayed at Hilton." That sentence cries out for a "the."
(2) Maybe the only exception is something like "I stayed at Brown's Hotel."
(a) For example, there's a hotel in London where anybody who is anybody always stays (since I am a nobody, I shall never
be seen there!). It called Claridge's. I checked Wikipedia, and I learned that the hotel was started by Mr. and Mrs. Claridge
a long, long time ago. So you might proudly tell your friends: When I went to London for the Olympics, I stayed at Claridge's. (That is
probably short for "Claridge's Hotel.") For example, I read that the company that owns Claridge's also owns The Berkeley and
The Connaught.