Brownsville is an unincorporated community and census-designated place (CDP) in northeastern Bowling Green Township, Licking County, Ohio, United States.Access to I-70 is provided by Exit 141, a half-interchange directly south of the town on State Route 668, for traffic traveling to and from the west.According to the U.S. Census Bureau, the Brownsville CDP has a total area of 0.9 square miles (2.3 km2), of which 0.6 acres (2,422 m2), or 0.10%, are water.[3] Brownsville is in the valley of Berry Run, a south-flowing tributary of Valley Run, which via Jonathan Creek is part of the Muskingum River watershed flowing south to the Ohio River.Flint Ridge State Memorial is 3 miles (5 km) north of Brownsville.