The claims about bad readings in the past are often easily debunked. Because they are completely false.
http://www.realclimate.org/index.php/archives/2014/03/new-daily-temperature-dataset-from-berkeley/
Simply check the actual records, and you will find no record of any day that had a high of 113 in Chicago, from any weather station of any kind.
In fact, days over 100 are rare.
http://chicago.cbslocal.com/2011/07/21/the-hottest-day-ever-in-chicago/
http://chicago.cbslocal.com/2012/06/27/hottest-days-ever-in-chicago-2/
The official records for O Hare (and Midway) don't even have the 30s or 40s listed, because there was no record from a station that did not exist.
The cobbled together records show 109 as the hottest day, but the official record was 105. But Midway records start in 1948, which is obvious when you look at them.
Claiming that was because nobody knew how to set up a thermometer correctly is absurd. There are a dozen different records for the area, and they all show the same heat wave in 1934. What none of them show is any temperature over 110 ever. Much less 113.
This is the problem when people make things up, and don't provide any evidence, like we see from Zeke Hausfather and Robert Rohde on realclimate.
It's why one should be skeptical.
The official NWS show no days over 105 from O'hare, and only two from Midway, neither from before 1948 of course.