Mo. Rev. Stat. § 508.080: Removal of suits by consent.

If at any time after the commencement of a suit the parties shall agree in writing, duly filed, upon any other county or court of competent jurisdiction, to which they desire the same to be removed, it shall, by order of the court, be removed accordingly to such county or court of competent jurisdiction; and the same proceedings shall be had in all respects for the removal of such cause as are provided by law in changes of venue in civil cases.