The reason to file a motion for a supervisory order with the Illinois Supreme Court (IL S Ct) is if a person is unable to file direct appeal on the issue. For example in a divorce case where the judge endlessly keeps an issue “in reserve” for more than a year, and therefore, there is no final appealable order because all issues are not dealt with, then it is appropriate to file a motion for supervisory order to the IL S Ct in order to ask for an order to force the trial judge to make a decision on the case.
Also see info from the Illinois Pro Bono organization: here
The following is an example of a motion for supervisory order. The sample IL S Ct motion for supervisory order is here.
To file it, if the court is in session you send the original and 9 copies to the IL S Ct in Springfield at their office. If they are not in session and you are in Chicago, you file an original and five copies in the Chicago office of the IL S Ct and then send one copy to each of the four justices outside of Chicago – their local offices. Recently (2013) the IL S Ct made rules on how to E-file. See their web site for updated information.
Included must be notice of service to the judge (who is the respondent) and to the other parties, an order with a place for the judges to circle either “denied” or “granted” and a place to sign it., a verified statement that you are complying with the 20 page limit to the pleading, a cover for the appendix, an affidavit that the documents in the appendix are true and accurate copies, a table of contents with page numbers for the appendix, an affidavit if you are pro se (verified statement if you are an attorney) that you have served notice and the motion to the parties and judges, and a check for $25 dollars. See IL S Ct rules 383,341-343.
The supporting record must be authenticated by the trial court clerk or verified by affidavit by attorney or pro se counsel as required in IL S Ct rule