Eustace Albert Baggett was an American football and basketball coach. He served as head football coach at West Texas State Teachers College—now known as West Texas A&M University—in Canyon, Texas from 1933 to 1939. Baggett compiled a 36–28–5 record in seven seasons and currently ranks third on the schools all-time winning list behind Joe Kerbel (68–42–1) and Frank Kimbrough (54–52–2).