From March 14, 1963 to April 23, 1970, the III-A classification was broadened to include all men who were fathers. President Kennedy issued Executive Order 11098 on March 14, 1963, to expand entitlement to this paternity deferment. For a man to qualify for a III-A deferment as a "Kennedy father," there had to be a "bona fide family relationship in their home" between the father and child. The definition of a man's "child" in the regulations of the period included "a legitimate or illegitimate child from the date of its conception." Therefore, the III-A classification could be granted during his wife's (or significant other's) pregnancy. The III-A classification also remained available to men, married or single, whose induction would be a hardship to their dependents.
(Source: Selective Service System - Effects of Marriage and Fatherhood on Draft Eligibility: After WWII to Today)