Ohio Rev. Code § 2945.74: Defendant may be convicted of lesser offense.

The jury may find the defendant not guilty of the offense charged, but guilty of an attempt to commit it if such attempt is an offense at law. When the indictment or information charges an offense, including different degrees, or if other offenses are included within the offense charged, the jury may find the defendant not guilty of the degree charged but guilty of an inferior degree thereof or lesser included offense.

If the offense charged is murder and the accused is convicted by confession in open court, the court shall examine the witnesses, determine the degree of the crime, and pronounce sentence accordingly.