Get our free mobile appFamous Illinois names: These can be whittled down to a handful. Illinois town names: There are many excellent Illinois town names that could be applied to pets. These are just a few Illinois town names that could be applied to your pet. Illinois city names/Canva-Google Street View Illinois city names/Canva-Google Street View loading... Put some Illinois on your pet with one of these names before Springfield gets wise to the fact that the state is loaded with great pet names and decides to tax you if you apply it.