1–8 defeat of Derry gave him his first league medal. O'Dwyer later added a second Munster SFC medal to his collection following a 2–15 to 2–8 defeat of Cork. On 27 September 1959, Kerry faced Galway in the All-Ireland SFC decider. Every aspect of that game seemed to go Kerry's way. A punched Tom Long ball was forced into the net by Dan McAuliffe for Kerry's opening goal. McAuliffe struck again when goalkeeper Jimmy Farrell dropped the ball accidentally in the goalmouth, while substitute Garry McMahon slipped as he sent the third into the net in the final few minutes. A 3–7 to 1–4 score line gave Kerry the title and gave O'Dwyer his first All-Ireland SFC medal. Kerry made it three-in-a-row in Munster in 1960. The 3–15 to 0–8 defeat of Waterford gave O'Dwyer his third Munster SFC medal. A second consecutive All-Ireland final appearance quickly followed on 11 September 1960, with Down providing the opposition. The game was played on an even keel for much of the first-half; however, an important incident turned the game in the Ulster men's favour eleven minutes after the interval. Kevin Mussen's line ball found Dan McCartan who sent in a high forty-yard lob which Kerry goalkeeper Johnny Culloty dropped over the goal-line. Two minutes later Paddy Doherty was pulled down in the square. He converted the subsequent penalty which put Down six points up. An historic final score of 2–10 to 0–8 resulted in a defeat for O'Dwyer's side, while the Sam Maguire Cup crossed the border into Northern Ireland for the first time. Kerry reached the final of the 1960–61 league and, for the second time in three years, Derry were the opponent. The northerners put up little opposition as Kerry secured a 4–16 to 1–5 victory. It was O'Dwyer's second National League medal. He later collected a fourth successive Munster SFC medal following a 2–13 to 1-4 replay defeat of Cork. O'Dwyer won a fifth successive provincial title in 1962 following yet another 4–8 to 0-4 trouncing of Cork. On 23 September 1962, Kerry faced Roscommon in what has been described as possibly the worst championship decider of them all. Garry McMahon went into the history books as he scored Kerry's first goal after just thirty-five seconds. Kerry fielded the resultant kick-out and Timmy O'Sullivan got the first of Kerry's twelve points of the day. A Don Feeley penalty did