Frances W. Brough, 86, a former Washington resident who also had lived in India for many years, died Friday at a hospital in Denver. She had a heart ailment.

Mrs. Brough was born in Hatfield, Mass., and graduated from Mount Holyoke College in South Hadley, Mass. Before joining her missionary family in India in 1918, she taught chemistry in St. Louis.

It 1923, she married Charles I. Brown, an American businessman based in Bombay, India. After her husband's death in 1939, Mrs. Brough made her home in Washington, where she was a volunteer for the Navy Aircraft Plotting Unit during World War 11.

In 1944, she married T.W. Brough, who was in the insurance business in Bombay. She and her husband then divided their time between their homes in Washington and Bombay until his retirement in 1953. Mr. Brough died in 1964. Mrs. Brough continued to live here until 1972, when she moved to a retirement home in Denver.

She was a former member of the Columbia Country Club in Chevy Chase.

Survivors include two sons, Winthrop W. Brown, of McLean, and Charles I. Brown, of Evergreen, Colo., and seven grandchildren.

The family suggests taht expressions of sympathy be in the form of contributions to the Music Department at Mount Holyoke College.