Illinois-
IL-1- Nearer Eastern Chicago
IL-2- Further Eastern Chicago
IL-3- South Chicago
IL-4- Chicago Centro
IL-5- Chicago Northlake
IL-6- Northeast Chicago Exurbs
IL-7- Northern Chicago
IL-8- Northern Chicago Exurbs
IL-9- Northen Chicaho Suburbs
IL-10- North Chicago
IL-11- Bloomington-Normal
IL-12- East St. Louis
IL-13- Southwestern Chicago
IL-14- Aurora
IL-15- Champaign
IL-16- Rockford
IL-17- Quad Cities
IL-18- Springfeild
IL-19- Mount Vernon
I'd make a few
changes to your list for IL:
IL-1- Nearer Eastern Chicago (
Chicago South Side): This is really the heart of the south side going into South Cook. It would be confusing to put any compass direction in front of "Chicago" since there are suburbs that use that form.
IL-2- Further Eastern Chicago (
Chicago South Shore): East Chicago is in IN, so it's confusing here. The lake is an easy reference and the district even includes a neighborhood known as South Shore.
IL-3- South Chicago (
Chicago Midway): The Chicago parts of this district are never called south, but they are called southwest. Midway airport is centrally located and is a frequent reference name for the neighborhoods in that area, though if you used Chicago-Southwest Cook I wouldn't complain.
IL-4- Chicago Centro (
Chicago Logan Square-Cicero): Your name is cute, but it isn't really the center which is in CD-7. Logan Square is the dominant neighborhood in the northern piece and Cicero (10th largest in IL) is the largest non-Chicago community on the south piece of the district, though you could just as easily use the neighborhood name and call it Chicago Logan Square - Little Village.
IL-5- Chicago Northlake (
Chicago North Side): Northlake isn't that big, and not much of the district is outside the city. There's a lot of separate neighborhood names I might choose from, but north side says it pretty well.
IL-6- Northeast Chicago Exurbs (
DuPage): The suburbs here aren't in the northeast, if anything they include a large part of what are called the northwest and west suburbs. These are also not exurbs - those are currently in CDs 11, 14 and 16 a good 20 miles farther out than CD 6. DuPage County dominates the district and is a pretty clear choice for this district unless you want to use Wheaton which is the county seat and largest city in the district.
IL-7- Northern Chicago (
Chicago West Side): There's nothing northern about this district. I could use the dominant neighborhood and call it Chicago Austin (over 100 K residents), but west side is pretty clear.
IL-8- Northern Chicago Exurbs (
Schaumburg): The McHenry and far northern Lake parts of the district are exurban, but a lot of the population is in northwest Cook County. Schaumburg anchors NW Cook, is the 16th largest community in IL, and is the 2nd largest job center in the state after the Loop.
IL-9- Northen Chicaho Suburbs (
Evanston): Northern Chicago Suburbs suggests parts of CD 8 and 10 to the locals here. Evanston or Evanston-North Cook would describe this better.
IL-10- North Chicago (
Waukegan-Arlington Heights) Waukegan (9th largest in IL) and Arlington Heights (14th largest) are both much more significant communities than North Chicago and they nicely anchor ends of the district.
IL-11- Bloomington-Normal (
Joliet): B-N is at the end of a gerrymander and is not that significant to the district. This is the Will County seat and Joliet is the 4th largest city in the state.
IL-12- East St. Louis: Not a bad choice, but if a hyphen was used East St. Louis-Carbondale would give a better sense of the scope of the district.
IL-13- Southwestern Chicago (
Naperville): Naperville is the fifth largest city in the state and dominates the district with almost a quarter of the population.
IL-14- Aurora (
Aurora-Elgin): Elgin (8th largest in IL) is almost as significant of a community as Aurora in the district, especially since the DuPage part of Aurora is in IL 13. If you had to go with one, Aurora is the right choice.
IL-15- Champaign: Good choice
IL-16- Rockford: Good choice
IL-17- Quad Cities: Good choice
IL-18- Springfeild (
Peoria): Springfield is fairly evenly split between IL-18 and 19 with a block-wide slice of IL-17 down the middle. Peoria is the dominant city in the district.
IL-19- Mount Vernon (
Southern Illinois): There's no dominant community in this district, and a big chunk of the population is in the Metro East suburbs of St. Louis. I'd go with the generic name.