Her paternal grandparents were Orazio Ludovisi and his wife Lavinia Albergati .
Through her mother she was the grand - niece of Pope Innocent X and through her father she was the grand - niece of Pope Gregory XV .
grand - niece 's paternal grandparents were Orazio Ludovisi and his wife Lavinia Albergati .
Through her mother she was the grand - niece of Pope Innocent X and through her father she was the grand - niece of Pope Gregory XV .