Sticking to the Chicago/Rockford/northern Illinois in general theme... Cheap Trick, Urge Overkill, etc... how about this one? Again, not a national hit, but big here in the area back in the day. Big enough so that I bought the album (still have it... ).
Maybe too obscure for anyone not from this area...
"One in a thousand, oh she's
One in a million, and she's
One that's not easy to forget"...