I live in Cleveland, Oh the process was really simple, fill out the name change application, take it to the courthouse and file it, pay the cashier $111.00 then go upstairs to schedule a time with a magistrate 30 days later, i picked an early time, the secretary said if it is later in the day the judge would sign it the next day and they would mail it to you and could take up to 5 days, the court took care of the add, they put it the legal news not the regular news paper.
On the appointed date i went back to the courthouse, i was called in to the magistrates chamber, she asked if this was an adult name change, of course i said yes, she looked at me and said approved, then signed it, i was in there less than 2 minutes tops, it went almost immediately to a judge to be signed, at it was done.
Changing all the paperwork was the hard part.
Paula