According to this site the Consulate in Naples is open from 2 in the afternoon until 4. However, the recorded message that you will hear if you call, states that it is open from 2:30 to 4.
Stop reading, start speaking
Stop translating in your head and start speaking Italian for real with the only audio course that prompt you to speak.
I called at 2:50, and got the message. Sounds as though those who run the consulate have adopted southern Italian work practices!
Just thought I would let you know.