According to the the Official Church Website,

The name, “Fairmont,” came about because the North Carolina State Fair was located here from 1873 until 1922. It was the fair’s second location, near (then) State College, when both were well away from the city of Raleigh. With the college’s growth, the need for a Methodist “presence” became apparent. Between June and December of 1937, the dream of a Methodist Church in (then) West Raleigh began to take shape. The first service was held on campus in the old Pullen Hall, December 5, 1937. It was then that 135 members chartered the new congregation.