IGI, batch T998195, p. 7, film 1126325, lists a Francis W. McCormick, b. 17 Apr 1834 in Orange Co., VA, to John McCormick and Ann McFarren. Could be this Francis, in which case we'd have the name of John's wife, but the evidence is too slim for me to enter it anywhere but in the Notes. (There were a lot of John McCormicks in Virginia.)