Use this tool to search by address for Residential Parking Zones. This tool also provides a link to the Chicago Board of Elections site (for searching for ward information) and a link to a listing of Alderman/Aldermanic Offices.
Find your city ward through the Chicago City Board of Elections website. Be sure to look at "Public Officials" tab to find your local alderman. http://www.chicagoelections.com/en/your-voter-information.html
For your residential parking zone, visit: https://webapps1.cityofchicago.org/ezbuy/geoWardLookup.do