I cannot locate information about her other than this portrait and the next one.
From artrenewal.org-Artwork-Index-55641. Boldini was developing his style with this portrait. Also posted to the Bustle Periods - 1870 to 1890 Album.
The upturned sleeves would become a prominent feature at the end of the 1880s, mushrooming into leg-o-mutton sleeves in the 1890s.
Keywords: 1880, Boldini, Adriana Franzoni, Marquise, curly coiffure, feathered cap, fitted bodice, fur collar, high enclosing neckline, three quarter length tight sleeves, fur muff