Mrs. Augusta Latham, 68, died last night in a Los Angeles Hospital. Mrs. Latham, a native of Kosse, Texas, was born Jan. 4, 1895. She is survived by her husband, Stuart; a sister, Mrs. Gertrude Orr of Brownwood, Texas; three children, Mrs. Liz Mayfield of Taft, Mrs. Ruth Hall of Dallas, Texas, and Richard Stackhouse of San Jose, and five grandchildren.