 The terrain then slopes up from the Canadian River, passing the county line at approximately 6 miles and reaching the top of the High Plains a further four miles north.For years there has been a simmering dispute over a strip of land running north and south, including an abandoned part of Glenrio at the west end of Oldham County, as to which state it is lawfully a part of.The border between the two states was originally defined as the 103rd meridian, but the 1859 survey that was supposed to mark that boundary mistakenly set the border between 2.29 and 3.77 miles too far west of that line, making the current towns of Farwell, Texline and the east part of Glenrio appear to be within the State of Texas.