EXHIBIT 32.1 CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002 In connection with the Quarterly Report of Oak Hill Financial, Inc. (the "Company") on Form 10-Q for the period ending March 31, 2004 as filed with the Securities and Exchange Commission on the date hereof (the "Report"), I, R. E. Coffman, Jr., President, Chief Executive Officer & Chief Administrative Officer of the Company, certify, pursuant to 18 U.S.C.ss.1350, as adopted pursuant toss.906 of the Sarbanes-Oxley Act of 2002, that: (1) The Report fully complies with the requirements of section 13(a) or 15(d) of the Securities Exchange Act of 1934; and (2) The information contained in the Report fairly presents, in all material respects, the financial condition and result of operations of the Company. R. E. Coffman, Jr. President & Chief Executive Officer April 28, 2004 -22-