 The Chennault daughters from the second marriage are Claire Anna Chennault (born February 1948) and Cynthia Louise Chennault (born 1950), a retired professor of Chinese at the University of Florida, Gainesville.As the State of Louisiana had passed an anti-miscegenation law in 1894 forbidding marriage between whites and non-whites, Chennault had been informed by his lawyer that his marriage to Anna was illegal in Louisiana, and to ensure his will was respected, Chennault—who lived in Monroe, Louisiana—had his will probated in Washington, D.C.

Claire P. Chennault, one of Claire Lee's sons, was a U.S. Army Air Force and then U.S. Air Force officer from 1943 to 1966 and subsequent resident of Ferriday, Louisiana.Chennault was initiated to the Scottish Rite Freemasonry, and he later was elevated to the 32nd degree in K.C.C.H.