 King failed to reach the quarterfinals only once, in 1961 during her first Wimbledon.After receiving a bye during the first round, King lost to the fifth seed, Yola Ramírez Ochoa, in the second round.King was 23–7 in three set matches, 73–8 in two set matches, and 5–1 in deuce third sets, i.e., sets that were tied 5–5 before being resolved.