There is no answer from marital status alone. Start with the recorded deed and the ownership records. A divorce agreement or judgment, another court order, and the title review may also affect which signatures are needed. Do not guess from who is living in the house or from the fact that a divorce has been filed.
The title company can identify the documents and signatures it needs for closing. A Louisiana family-law attorney can explain what a particular agreement or court order means for you. You can start talking with us while those questions are being checked.
Monroe is in Ouachita Parish, but Monroe city limits, the parish boundary, and the Fourth Judicial District's two-parish footprint are not the same thing. The Fourth Judicial District identifies Ouachita and Morehouse Parishes as its district; that does not determine the venue of an individual case.