Its name refers to the Valle de Alcudia in the Province of Ciudad Real in Spain.

King Charles IV also granted to Manuel Godoy the Duchy of Sueca, the Barony of Mascalbó and the title of Prince of the Peace.

He married in 1857 with Rosalía Álvarez de Toledo y Silva, daughter of the Duke of Medina Sidonia.

His son succeeded him: IV Duke: Camilo Rúspoli y Caro, Álvarez de Toledo and Caro (1904–1975), who reunites all the titles, both of Manuel Godoy, and of the Infanta María Teresa, by which he became the IV Duke of la Alcudia, IV Duke of Sueca, XVIII Count of Chinchón, and VI Marquess of Boadilla del Monte.

He married María Álvarez de las Asturias Bohorques and Rumeu, of the Dukes of Gor.