Beginning at the mouth of Nine-mile or Muddy creek, where it discharges itself into the Ohio, and running from thence with a straight line, to the mouth of the east branch of the Little Miami river; thence with the Little Miami river, to the mouth of O'Banion's creek; thence with a due east line, until it shall intersect a line drawn due north from the mouth of Elk river or Eagle creek; thence with that line south, to the mouth of the said Elk river or Eagle creek, and from thence with the Ohio, to the place of beginning.