Hi Gerox
I'm afraid I can not help you.
At that time (1824-1872 as Oel said) in Italy there were maker's marks with a diamond shape in the Papal States.
They consisted of four letters that had this meaning
On the left side the initial of the silversmith's name
on the right side the initial of the silversmith's surname
in the upper part the initial of the silversmith's city
in the lower part the initial of the city of the " ufficio del bollo"
As an example
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Carlo Gattinelli of Lugo (Ravenna)
If the letter above is a T, then the city must be Terni or Todi, but there is no known silversmith in these cities whose surname begins with H.
There is Gaspare Brunelli di Todi whose maker's mark is GTBF, or Giuseppe Parisi of Terni whose mark is GTPS.
But it is quite possible that the mark is not Italian.
Best
Amena