I could not find any James (F) Carter who was born 1916 and died 1987 in Rochester, in the SSDI.
There is this in the Library's online Life Records Index:
CARTER, JAMES F. 8/16/1997 DC 8/18/1997 , but that is 10 years later. That has to be ordered from them, and the paper is not online. The only Carolyn Carter in that Life Records index is: Carter, Carolyn Edna 11/1/2005 DC 11/3/2005.