The Princess of Carignano was a woman married to the Prince of Carignano of the House of Savoy. The list ends with Charles Albert, in 1831, after he became King of Sardinia. But the Queens of Sardinia and later Italy used the title "Princess of Carignano" as part of their full title which included a lot of other titles.
As noted, the Principality was bought by Louis Jean Marie de Bourbon; as such the title was born by his Modenese wife; at his death to passed to his daughter by inheritance. The title was confiscated off Marie Adélaïde during the French Revolution.