Went to the Army and Navy Club last week to buy the redesigned club tie, eat a good lunch, and take some decent digital pictures of Civil War generals' portraits. Collected a bunch of trash instead, by virtue of having used a camera phone and shaky hand. Will return with a proper digital camera for a redo. The image above is one of the "better" ones (but I must retake it).
My sense is that these celebs were members who sat for portraits, which is why they are hanging on the Club's walls. That would explain their ages as the Club was founded in 1885.
The portrait you're viewing, in all its awful reporduction is listed by the National Gallery as an Uhl sitting. I have never seen this image in any other context than the painting itself, which I hope makes it special for you too.