TRRed - your recollection (with one minor exception) is very accurate, especially as to the locations of the Hyatts.
The hotel next to the Ren. Stanford Court is the Mark Hopkins, which flies the Intercontinental flag. Both the Ren. and the MH are across the street from the Fairmont. All three hotels stand on the former sites of the mansions of historical railroad barons (Leland Stanford and Mark Hopkins) or sliver barons (James Fair).