looks like the facade has slipped just above the Hotel sign. Doubt it was that old too.
Loving the website over here in the UK, Dave.

Below is the same view from July of 2011.

Notice the window, third floor on right of photo - William J. Tanney Detective Agency. If the old movies are to be believed, every large hotel had their own detective on duty (probably to keep un-marrieds out of the same room). The slang name "hotel dick" probably came in later with Dick Tracy. I wonder if Mr. Tanney hired out a detective for the Hotel Henry. Looked up Mr. Tanney and he was apparently quite an upstanding citizen. Here's a quick bio - born Elk County, PA 1865, 1890 appointed Pittsburgh patrolman, 1893 made lieutenant of police in First district, for meritorious service made Captain of Police in 1896, resigned in 1900 to enter hotel business on South Side, 1906 granted a license to conduct a detective agency. He may have died in 1918.

"Upon a commanding site in the very heart of Pittsburgh, that glowing metropolis of untiring industry, stands a pre-eminent contribution to the city's greatness. It is a massive structure, eleven stories in height, of indestructible steel, stone and terra cotta, and bears the title of the Hotel Henry. Monumental, though unpretentious, in the solidity of its exterior elevation, it contains within its walls a wealth of architectural design, artistic embellishment, and the acme of perfection in the vehicles of service. Strong though the statement may appear, yet it is boldly made, that under no other roof in the world can be found a more comprehensive contribution to ease, comfort, convenience and utility. From sub-cellar to roof, science, mechanism and human endeavor are made subservient to the beck and call of mortal desire."

From: http://www.archive.org/details/hotelhenrypittsb00henr

That circular stairway fire escape on the left looks great but I think it would be unsafe.

Gives me vertigo!