Nancy Baxter Skallerup, 56, a vice president at large of the national YWCA who was active in many community and service organizations in the Washington area, died Tuesday at her home in McLean following a stroke.

Mrs. Skallerup, who was born in Cleveland, graduated from the Madeira School in Fairfax County and then from Smith College. In 1946, she returned to Madeira as a teacher. From 1948 to 1950, she worked for the Central Intelligence Agency.

In her community work, Mrs. Skallerup was president of the Fairfax County branch of the YWCA from 1963 to 1965, and president of its National Capital Area organization from 1970 to 1972. She had been a member of the national board of directors since 1973 and was elected a vice president at large in 1979.

She also was a member of the board of the Community Foundation of Washington and was chairman of its distribution committee. From 1955 to 1959, she was a member of the board and a vice president of the Hillcrest Children's Center. She was a member of the board of the Madeira School for almost 30 years and its chairman from 1965 to 1971. She was a former trustee of the Potomac School. c

Mrs. Skallerup also was a member of the Smith College Club of Washington and a former chairman of its scholarship committee. From 1971 to 1974, she was chairman of foundations on the Development Council of the Smith College Capital Campaign.

Survivors include her husband, Walter T. Skallerup; three children, Paula Osborn of Vienna, and Walter T. III and Nancy W., both of McLean, and one granddaughter.

The family suggests that expressions of smypathy be in the form of contributions to Madeira School, Greenway, Va., or to the YWCA of the National Capital Area.