The only information I have on the Cliff House comes courtesy Clarence Mershon:
Almost directly across the highway [from Bridal Veil Lodge}, the three-story, 18-room Cliff House stood, reportedly built in the late 1860s … On October 9, 1947, a fire destroyed the structure.
Mershon, Clarence. East of the Sandy, The Columbia River Highway. Portland, Oregon: Guardian Peaks, Inc., 2001, p. 30.
And from the newspaper story of its demise:
Searching for information is complicated by the fact that were several Oregon establishments named “Cliff House” in the late nineteenth and early twentieth centuries.