The OakBrook Shopping Mall is right there. So, there are many places at the mall - albeit larger chains such as Cheesecake Factory and California Pizza Kitchen. There is a place that looks just like Cheesecake Factory from the outside, only it's The Clubhouse. If you go down the road a few miles (you have a car), there is Weber Grill (our favorite - the one in downtown Chicago is inconsistent), as well as bigger chains PF Changs and Champps. Further down the road is The Capital Grille as well.
But, the Drury Lane also has its own restaurant - although I've never eaten there. There is a full bar as well. They have a Sunday Brunch: Sunday Brunch But, again, I cannot speak to the quality.
Note: your Sunday matinee crowd likely will have an average age a bit older than you may be used to.