Yes, Joanne, I had to do the whole rigmarole recently --
Only 3 places in the city will handle replacement Stickers, all weekdays only: City Hall, someplace on northside, and 5674 S. Archer Av.
Hoping to avoid downtown parking fees, I opted to go to Archer Avenue. The exact address of 5674 S. is important because it is a tiny office easy to miss, as I did twice. There they directed me to their nearest Police Station, which is not near (ie walking distant). The polite Policeman said he never heard of such as my request. An older saturnine Cop showed him how to fill out a "Walk-In" Report. My verbal answers seemed acceptable; nothing was asked to be seen or documented. I signed several times in several places; then drove back to the Archer office to present my copy of the Report where they gleefully issued me a new Sticker without further charge (I had, of course, paid initially for it) .
As it was late in day, I was happy to head for home having frittered away three precious hours. I now know more acutely than ever: Chicago has lost all sense of Government, its purpose, and how to accomplish it.
--regrettably, SAM G.