Is there a train station in Perugia or Foligno?

I would like to take a train on Saturday, May 26, from Naples to Perugia or Foligno (I am trying to get to Collazzone to visit family). I will also need to take the train from Perugia or Foligno to Rome on May 29 to get my return flight to the USA on May 30. I cannot seem to find a train schedule/cost for Naples to Perugia or Foligno. Can you provide information and/or the correct website.

Thank you.

DIane Loulou
diane.loulou@verizon.net