Thank you for posting the story. My S&S edition's introduction comments on Marianne and Annamaria being inverses of the same name, which was also used for the 'dangerous' representation of "Marianne" as the spirit of revolutionary France.

The intro by Margaret Anne Doody also discusses the dangers of both sense and sensibility. Other writers like Wollstonecraft warned against making a girl too involved with sensibility to have good sense. Children like Annamaria will be unable to take their proper place as mistresses of a home. We already see Marianne's romantic sensibilities making her fall quickly in love and over-indulging her grief.