Together, they had three children; sons Wesley (who died of leukemia at age seven) and James W., and daughter Betty Ann.

West co-owned KBTC radio in Austin along with businessmen E.G. Kingsbury and Robert B. Anderson (former State of Texas Tax Commissioner and future Secretary of the Treasury).

[6] Johnson traveled to the West Ranch in the Texas Hill Country to persuade Wesley to sell his interest in the company.

The Neva and Wesley West Chair in the Texas A&M Health Sciences Center, Graduate School of Biomedical Sciences, Houston, Institute of Biosciences and Technology was created to fund faculty conducting research to ultimately aid in the treatment of infectious diseases.

[5] The foundation gave funds to aid in the creation of Jesus Bautista Moroles' Houston Police Officer's Memorial in 1990.

West inherited many properties and associated businesses from his father's estate, much of which he shared with his brother James Jr. Two of these were the Indio and Chupadero ranches.