At #4, Billy Fury's 'I'd Never Find Another You':
Some memorable events (via Wikipedia):
14 January: 'A Netherlands warship sank an Indonesian torpedo boat after it approached the disputed territory of West Irian, a Netherlands colony claimed by Indonesia.'
15 January: 'After the United Kingdom sought to join the European Economic Community, the Meteorological Office first began using Celsius temperature values in its public weather information, following the Fahrenheit values. In October, the Celsius values were listed first, and by January 1, 1973, when the government entered the EEC and completed its conversion to the metric system, Fahrenheit numbers were only used occasionally.'
Also, 'The Derveni papyrus, written in about 340 BC, was discovered in a cist that had been buried at the site of the Greek city of Derveni, near Thessaloniki. The oldest surviving manuscript in Europe, the papyrus roll contained a commentary on philosophy and religion.'
16 January: 'A military coup in the Dominican Republic, led by General Pedro Rodriguez Echavarria, forced President Joaquín Balaguer to resign and to go into exile. Earlier in the day in Santo Domingo, soldiers fired into a crowd of people protesting against the new regime, killing 8 people and wounding many more. Balaguer had been the leader of a council of state with seven civilians, and had pledged to hold elections on February 27, 1963. The junta consisted of two former state council members, two civilians from the old Trujillo government, and three military officers, but had no presiding leader. The other council members were placed under house arrest.'
17 January: 'United States government workers were given the right of collective bargaining by President Kennedy, in Executive Order 10988.'
18 January: 'Two days after seizing power in the Dominican Republic, General Pedro Rodriguez Echavarria was overthrown in a counter-coup by his own officers, who then freed members of the former council of state who had been under house arrest. The council's first act of business was to accept Balaguer's resignation, with Rafael Filiberto Bonnelly as his successor.'
Also: 'In the lead-up to the opening of negotiations on Ireland's entry to the European Community, Irish Prime Minister Seán Lemass addressed the members of the other EC governments at their headquarters in Brussels.'
19 January: 'KGB agents identified Colonel Oleg Penkovsky as the man who was secretly meeting British national Janet Chisholm in Moscow. The agents, who had been shadowing Mrs. Chisholm, had first seen the two together on December 30, and followed Penkovsky to his apartment. Surveillance determined that Colonel Penkovsky, a high clearance official with the Soviet military intelligence agency GRU, had been bringing home classified material relating to ballistic missiles, photographing it, and giving the film to the British intelligence agency MI-6. Penkovsky, whose information alerted the United States to the placement of nuclear missiles in Cuba, would be arrested on October 22, when the Cuban Missile Crisis began, and would be executed on May 16, 1963 for treason.'
20 January: 'The play Prescription: Murder, by Richard Levinson and William Link, was first presented, with the premiere at the Curran Theatre in San Francisco. Character actor Thomas Mitchell portrayed a disheveled police detective named Lt. Columbo. When the play was made into a TV movie in 1968, Peter Falk portrayed the detective, and then in the title role of Columbo, one of the recurring segments of the NBC Mystery Movie. Columbo had been seen once before, on July 30, 1960, in the presentation "Enough Rope", part of The Chevy Mystery Show.'
UK chart hits, week ending 20 January 1962 (tracks in italics have been featured previously)