Barton, ArkansasBarton is an unincorporated community in Phillips [County, Arkansas|Phillips County], Arkansas, United States. Barton is located on Arkansas [Highway 85], south-southwest of Lexa. Barton has a post office with ZIP code 72312.EducationBarton is home to the Barton–Lexa [School District] which provides early childhood, elementary and secondary education to more than 800 students in prekindergarten through grade 12. Students complete their studies at Barton High School.