Mrs. Dorothy Annan Harder, wife of George A. Harder, died Wednesday at her residence, 510 Park Avenue. She was the only child of the late Edward Annan Jr. and Maude Earle. Edward Annan of Brooklyn, her grandfather, was formerly President of the New York Produce Exchange. Besides her husband she left two daughters, Dorothy and Jean Harder; an aunt, Mrs. William H. Dukman, and three cousins.