Court documents filed by Attorney Alan Simpson say the city is seeking to terminate Jessie Barton's employment.
Documents also say, the city is refusing to issue subpoenas and schedule a hearing that gives Barton enough time to prepare.
Simpson is seeking an emergency hearing.
Barton was placed on administrative leave without pay in late May pending the outcome of an investigation.
It deals with Barton admitting to lying to investigators during the pre-trial investigation in a case against Barren County Sheriff Chris Eaton and two other officers.