Though usually in the key of G minor, in the key of A minor this gives:
The romanesca is a variant of the passamezzo antico, where the first chord is the III (e.g., a C major chord in A minor). A famous example is "Greensleeves".
The passamezzo antico chord changes are found, knowingly or not, in modern popular music culture: Carrie Underwood's debut album Some Hearts has two examples, "Before He Cheats" (a big U.S. hit in 2006) and "Starts with Goodbye". "Stairway to Heaven" by Led Zeppelin is essentially a variant of the progression.