"Castiglione" Natural Recordings by Native Speakers
Castiglione is a patronymic surname of Italian origin, which means "son of Castiglione", where Castiglione is a place name derived from the Latin "castellum optimum", meaning "best little castle". It likely refers to someone who hailed from Castiglione, a town in Italy.
I apologize, but the word "castification" is not a recognized English word in the Oxford English Dictionary or other reliable linguistic sources. It appears to be a made-up or invented term, and it lacks a widely accepted meaning.