The introduction to this website reports:
"This group of records contains abstracts of records of dissolution of marriage in Greene County, Missouri, for 1837 through 1950. All records include the names of the plaintiff and defendant, record book number, page number, date of final decree and an indication of who is the "innocent and injured party". Many of the records include the circumstance of the divorce, amount of support awarded and names of children affected."
Although the intro reports records beginning in 1837, I have found only 1947-50 at this link.
Click on the title link to connect to the website.