Seven Viceroys served during the reign of Carlos II (1665 - 1700) so I cannot find genealogical/biographical information about her.
From pinterest.com/green_eyeds85/spanish-ladies-of-baroque/. Also posted to the Iberian Dress in the Louis XIII and XIV Eras Album here.
The long curly coiffure with some of the hair swept over half of her forehead is common in hispanic portraits of the era.
Keywords: Virreina de Napoles, long curly coiffure, earrings, jeweled partlet, high neckline, fitted bodice, lace bertha, straight neckline, long puffed sleeves, puffed cloth ornaments, lace back-flared cuffs, vee waistline, lace peplum, full over-skirt, lace-edged handkerchief, folding fan