[Charles Henrickson]

. . . someone said that Hegwish, and the other neighborhoods around mills could be considered East Side, since they are east of Michigan Ave.

Yes, but nobody calls it "East Side." (I think. I'm a Nortsider myself, so I'm not 100% sure.) You could say "Southeast Side," but that's about it. Usually you refer to the area by the ward, e.g., "the 11th Ward," or whatever.

[stylin19a]

Exacly right. There is no "East Side" in Chicago.
I'm Nor"t"(hard "t") side Irish. The women in my family never referred to neighborhoods. It was always parishes. Tho I lived in the Diversy/Damen/Clybourn projects, my aunt would say I lived in St.Boniventure's parish.