From Italian "green". It is possible that this name is derived from the Greek for "green", and the minor goddess of vegetation, Khlōris and hence a derivative of Chloris.
One correspondent [JS] says that an elderly Italian had told her that he ...
"... had Clorinda in his family, going back at least four generations (and) it is a very old Italian name."
Another correspondent [CF] notes an ancestor who was known as Clorinda [with several spelling variations], with a pet name of Chloë. This may not be common but is worth bearing in mind.