Hi Vikki,
You were looking for information on any campaigns the 5th was involved in. Try this link:
http://www.iowa3rdcavalry.com/great%20railroad%20raid/railroad1.htm
Even though it discusses Iowa regiments mainly, it does include the 5th Illinois as well. They were part of this raid,and the article is written by a legend in the study of the Vicksburg campaign, as well as the rest of the Civil War.
bg