 Known as the "Jackson Purchase," the purchase's southern border (with Tennessee) ran along the Mathews line.Although the Walker line was extended to the Ohio River (which formed the Purchase's western boundary), it was called the "Munsell line" (or "Alexander and Munsell line") on the western side of the Tennessee River and formed the new border with Tennessee.Kentucky and Tennessee agreed in the Compact of 1820 to accept the Mathews line to the Tennessee River, and from that point it should follow the Munsell line.