On August 4, 1976 President Gerald Ford nominated Wellford to a seat on the United States Court of Appeals for the Sixth Circuit to replace William Ernest Miller, who had died on April 12, 1976. Civil rights groups objected to Wellford's nomination and, with the nomination coming so late in Ford's presidency, the Senate never took a vote on his nomination before Ford left office. President Jimmy Carter declined to renominate Wellford when he took office, nominating Gilbert S. Merritt Jr. instead.[2]
Wellford was married to Katherine Estes Potts Wellford, and they had five children.[3] He died in Memphis in April 2021 at the age of 96.[4] On September 2, 2022, his granddaughter Eliza Fletcher, a kindergarten teacher, was kidnapped, raped and murdered while out for an early morning jog in Memphis in a case that attracted national media attention.[5]