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Round 2
17 July 1962
| Déiseach (1) |
0-1 |
O'Leary (1) |
| Finlay (1) |
½-½ |
Littleton (1) |
| Mulholland (1) |
½-½ |
Montwill (1) |
| Kerr (½) |
½-½ |
Hughes (½) |
| Reid (½) |
½-½ |
Keogh (½) |
| Long (0) |
0-1 |
Boyd (0) |
| MacGrillen (0) |
1-0 |
Quinton (0) |
| O'Hare (0) |
0-1 |
Reilly (0) |
Scores after round 2
| O'Leary | 2 |
| Finlay | 1½ |
| Littleton | 1½ |
| Montwill | 1½ |
| Mulholland | 1½ |
| Boyd | 1 |
| Déiseach | 1 |
| Hughes | 1 |
| Keogh | 1 |
| Kerr | 1 |
| MacGrillen | 1 |
| Reid | 1 |
| Reilly | 1 |
| Long | 0 |
| O'Hare | 0 |
| Quinton | 0 |