Byron Farwell, in his very readable biography of Burton, found
very few traces of Burton in Trieste when he visited it.
Whether or not that was true in the 1950s, it is not true now. There is
for instance a Via Sir Richard Francis Burton


Above, according to Mick Walton, "a plaque - now lost/stolen - placed outside
the Hotel Obelisco/Daneu's
by an insurance company in 1872 to commemorate the centenery of Burton's
arrival in Trieste."
The villa that was Burtons' private residence while he was
British consul in Trieste is
still there, though it has been greatly modified
and is now known as the "Villa Economo", converted to apartments.
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Inside the Villa Gosleth, 2009 (by Udo Koehler).
Another view inside the Villa Gosleth (Udo Koehler).

Burton often visited a resort in Opcina, shown above in an early postcard, to
'recuperate'.
Below, Burton's death was noticed in Trieste at the time (click to enlarge).

Many thanks to Mick Walton in Trieste for providing these images.