going from Venice to Cortona via train

Here is the bus schedule for Terontola-Camucia-Cortona. http://www.lfi.it/orari_linee_etr_mob/LFSU4.pdf

Camucia Train Station is very small, and the bus to/from Cortona is easy. We didn't have a schedule and still figured it out. We stayed outside of Cortona, and although we had a rental car, we took the train into Florence twice; once to see a soccer match (train stop is only a few blocks from the stadium) and the second for a full day of sightseeing in Florence. There are also direct trains about every 2 hours to Orvieto (about 50 minutes). We looked into a day in Rome, but there were enough other things to see closer to our home base of Cortona.
You will love Cortona!

Closer in, you have Perugia and Assisi. And, for some of the best pottery in Italy, you have Deruta south of Perugia.

thank you for your ideas!

Note that the train station at Cortona is not at the hilltop town. You will need to take a bus from in front of the train station to go up the hill. As far as ceramics go...if you do go to Assisi, I HIGHLY recommend Il Due Soli.
Via A. Fortini, 14 A/B. Riccardo is amazing. The ceramics are made there in Assisi by their family. It's NOT mass produced like the stuff in Deruta (lower town, where all the "factory outlets" are. If you stop in, please tell Riccardo hello from "the Bee lady in Denver CO". Cortona is a pretty town, we spent 2 nights there before a bike trip last fall. You can walk from one end to the other and have lots of time to just sit and soak in the atmosphere. I can also tell you the friendliest people reside there!

marie, I was there a few months ago and used the station at Camucia as it seemed a bit closer than Terontola. That all worked well, although I learned that getting a Bus up to the town is sometimes a bit of a challenge. There didn't seem to be any locations selling Bus tickets, and I was told by local residents that you can board the Bus at the station, but the driver will stop at the nearest Tabachi where passengers will have to disembark and buy a ticket. Going back to the station isn't a problem, as there's a convenient Tabachi close to the Piazza where the Bus departs from. In my case, I was very fortunate. I was chatting on the train with a lovely lady (British ex-pat) that lives in Cortona and she explained the Bus situation. As it turned out, her friend that was meeting her at the train had room in the SUV for me, so they took me right to the front door of my hotel. Happy travels!

I took the bus from Camucia to Cortona. There's a tabacchio a few minutes walk up the street from the train station on the left that sells tickets, and you can board the bus at the stop just past the tabacchio rather than walking back to the station. In Cortona, the TI also sells bus tickets and is helpful regarding schedules. I went to Arrezo as a day trip from Cortona and really enjoyed it. It's a short train ride and the walk into the historic center from the station was easy.