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Round 2
7 July 1968
| Heidenfeld (1) |
1-0 |
Byrne (1) |
| Lewis, W. (1) |
(1-0) |
O'Leary (1) |
| Cassidy (1) |
(1-0) |
Reilly (½) |
| O'Hare (1) |
(1-0) |
Lewis, E. W. (½) |
| Cunnane (½) |
(1-0) |
Ó Siochrú (½) |
| O'Riordan (½) |
(1-0) |
Collins (½) |
| Wilson (½) |
(1-0) |
Coll (½) |
| Ireton (½) |
(1-0) |
Stewart (0) |
| O'Kane (0) |
(1-0) |
Ballance (½) |
| Egan (0) |
(1-0) |
Doyle (0) |
| Cox (0) |
1 |
Bye |
Scores after round 2
| Cassidy | 2 |
| Heidenfeld | 2 |
| Lewis, W. | 2 |
| O'Hare | 2 |
| Cunnane | 1½ |
| Ireton | 1½ |
| O'Riordan | 1½ |
| Wilson | 1½ |
| Byrne | 1 |
| Cox | 1 |
| Egan | 1 |
| O'Kane | 1 |
| O'Leary | 1 |
| Ballance | ½ |
| Coll | ½ |
| Collins | ½ |
| Lewis, E. W. | ½ |
| Ó Siochrú | ½ |
| Reilly | ½ |
| Doyle | 0 |
| Stewart | 0 |