The engagement of Amber Michelle Greenwell and Corey Eugene Hagen is announced today. The future bride is the daughter of Allen and Rebecca Greenwell. Parents of the future bridegroom are Ronald and Mary Hagen of Franklin, Tenn. The wedding is planned for Saturday, May 23, at Our Lady of Perpetual Help Catholic Church, where both are members. The bride-elect is the granddaughter of the late James and Ida Greenwell and the late Clois and Emily Jo Echols. Miss Greenwell is a graduate of Notre Dame High School. She received a bachelor's degree from Spring Hill College in Mobile, Ala., where she was a member of Delta Delta Delta sorority. She is a senior commercial lending assistant at Cohutta Banking Co. The future bridegroom is the grandson of Mary Belle Martin of Nashville, the late Edwin Martin, Lillian Roll of Collegedale and the late Harold Hagen. Mr. Hagen is a graduate of Brentwood Academy in Brentwood, Tenn. He received a bachelor's degree from Auburn University. He is director of education at Reflection Riding Arboretum and Nature Center.