Elisabeth Alexaner Gore, 70, a member of the board of managers of the National Society of Colonial Dames of America and a retired employee of the Southern Railway, died of cancer Tuesday at the home of her daughter, Elisabeth G. McDonnell, in Ruxton, Md.

Mrs. Gore had been secretary as well as a member of the board of managers since 1977. She was a member of the society's Washington chapter. She also was a member of the National Society of the Lords of the Maryland Manors and the Society of the Pilgrims of St. Mary's.

Mrs. Gore was a native of Washington and a graduate of the old Western High School. She lived in Alexandria fron 1944 to 1977 and then in Washington again. She had been living with her daughter since last August.

Mrs. Gore worked for the Southern Railway in Washington from 1945 to 1975 and was secretary to the head of its public relations department when she retired.

Her marriage to Thomas N. Gore ended in divorce.

In addition to her daughter, Mrs. Gore's surviovors include a son, Thomas P. Gore II, and a brother, J. Fendall Alexander, both of New Orleans; a sister, Caroline A. Skinner of Topping Va., and six grandchildren.

The family suggests that expressions of sympathy be in the form of contributions to the Alton Ochsner Medical Foundation in New Orleans.