It's Princess Isabella of Savoia

 The infant daughter of the Duke and Duchess of Apulia has been named Isabella. 

The princess, who was born on December 14 in Paris, has been named in honor of Princess Isabelle of Orléans (1878-1961)

Princess Isabelle Marie Laure Mercedes Fernandine was the daughter of Prince Philippe, Count of Paris, and Infanta Isabel of Spain.  She was married at Twickenham, England, on October 30, 1899 to Prince Jean, Duke of Guise (1874-1940)

The newlyweds were first cousins.  The duke and duchess of Guise had four children:  Princess Isabelle (1900-1983) who was married twice, first to Count Bruno d'Harcourt. and secondly to Prince Pierre Murat;  Princess Francoise who married Prince Christopher of Greece; Princess Anne who married Prince Amadeo, Duke of Aosta; and Prince Henri, Count of Paris, who married Princess Isabelle of Orléans-Braganza.

The Duke and Duchess of Apulia are descendants of Princess Isabella.  Prince Francoise and Prince Christopher of Greece had one son, Prince Michael, the father of the Duchess of Apulia.

The Duke of Apulia is the grandson of the Count and Countess of Paris as their daughter, Claude, was the first wife of Prince Amedeo, Duke of Savoia.

Princess Anne of Orléan's husband, Prince Amedeo, 3rd Duke of Aosta, died in a prison camp in 1942. He was succeeded by the Duke of Apulia's grandfather, Prince Aimone, who was married to Princess Irene of Greece.