Question: In the mid-1960s, I think, Dennis Weaver starred in a show where he had an adopted Korean son, lived on a ranch and drove a convertible Mustang. What was the name of it? Thanks.
Answer: That would be the short-lived comedy-drama Kentucky Jones, which ran on NBC for a year beginning in September 1964. Weaver, coming off his nine-year stint as Chester Goode on the classic Gunsmoke, starred as veterinarian Kenneth Yarborough "Kentucky" Jones (he signed his name "K.Y."), who lived on a ranch in Southern Cal.
And the 9-year-old boy of whom you speak, Dwight Eisenhower "Ike" Wong (played by Ricky Der apparently nifty nicknames were plentiful on this show), was Chinese, not Korean. Kentucky's wife had arranged to adopt the lad and then promptly died, leaving the widower vet to raise him alone.
Harry Morgan (Dragnet, M*A*S*H) played ranch fix-it man Seldom Jackson (again, normal names were a rare commodity), and Nancy Rennick was the social worker assigned to Ike's case. Also in the cast: Keye Luke (Kung Fu), Cherylene Lee and Arthur Wong.