Paris IL is about 165 miles south of Chicago, and there is no train nor bus service between the cities.
The closest Amtrak station is in Mattoon IL, which is about 40 miles west of Paris.
There is scheduled Greyhound bus service from Cicago to Danville IL (30 miles north of Paris) or Terre Haute IN (20 miles east). There are also a few buses that run to Charleston IL (for Eastern IL University students), but you will still be 20+ miles west of Paris.
Sorry, but you're probably best off to drive a car there.
Lived in central IL for 4 years.