It shall be the duty of the county commissioners of the counties between which a settlement should be made by virtue of any transfer to meet and determine the amount due from one county to the other, and if a majority of said commissioners agree upon an amount found to be due, the commissioners of the county found to be indebted to the other county are hereby authorized and empowered to draw a warrant on the general fund of their county in favor of the county entitled to the same for the amount so found due: Provided, that either county through its proper officers may within sixty days appeal from said finding to the district court of the county appealing: Provided, further, that if a majority of said boards of county commissioners should fail to agree upon an amount due from one county to the other each of said boards of county commissioners shall file with the respective county clerks a report showing its finding, and also the finding of the commissioners of the other county and the county claiming an indebtedness shall, within six months after the filing of said report with the county clerk, institute suit in the district court of any county in the district in which the debtor county is situated, to recover the amount to be due by the board of county commissioners of said county.
R.L. 1910, § 1510.