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The picture we know of Franz Hartmann where he appears younger is the next one where I estimate that he would be around 30 years old, and therefore I suppose this photo was taken in America when he was there for love to adventure.
But the most famous photo of him is this below where I calculate that he was between forty to fifty years old, and that is why I think this picture was taken in 1986 (when Franz Hartmann was 47) and when he return to Europe after having been sixteen months in India at the headquarters of the Theosophical Society in Adyar, Madras.
In 1897, at the age of 65, Franz Hartmann returned to the United States, but this time to participate in a lecture tour, and the Theosophical Society led by Katherine Tingley wrote an article in its magazine "Theosophy" for present him, and they put the following picture which appeared in the publication in June 1897 (Vol. 12, p.88):
And this photo above (plus the best-known photo) they also appeared in the autobiography that Franz Hartmann wrote for the English magazine "Occult Review" and which was published in January 1908 (p.7-35).
And maybe Franz Hartmann took advantage of his stay in America to take this photo in western costume to remember his adventures.
The following photo (where his signature also appears) was found in the Theosophical Society in America archives.
And I found these two more photos where Franz Hartmann appears older and they were probably taken in Germany, where he resided during the end of his life.
And I also found a painted portrait of him, but whose author is unknown to me.