George, According to Find A Grave Memorial # 70659065 which does have a lot of mistakes at times stated Captain William Fielding Carter died on July 3, 1930 in Missouri as you earlier stated and also mentioned that his father was William Farley Carter.

The absence of records post October 5, 1864 of William F. Carter of the 2nd Missouri Infantry (Confederate suggests the Oooops! may be on you.