His son, Frank, Jr., was born in January 1918. He later appeared in the 1933 Cecil B. DeMille film This Day and Age, along with the namesake sons of actors Eric von Stroheim, Wallace Reid, Bryant Washburn, Carlyle Blackwell, Neal Hart and Fred Kohler. Tinney's son later became a U. S. Air Force officer who saw service during World War II, Korea and Vietnam.