Sadly, or happily, this sounds like the pizza available at almost every Italian bakery in the city.
A few places to consider:
Masi's
933 S Western Ave, Chicago, IL 60612 - (312) 733-5092
D'Amato's
1124 W Grand Ave Chicago, IL 6062
Freddy's
1600 S 61st Ave
Cicero, IL 60804
(708) 863-9289
If it's none of those places, it would help if you told us in better detail where it was, relative to Midway. Or, you could ask your brother.