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Round 7
8 July 1964
| Heidenfeld (5½) |
(1-0) |
O'Riordan (4) |
| Cassidy (5½) |
(½-½) |
O'Kane (3½) |
| Byrne (3½) |
(1-0) |
Lewis, E. W. (4) |
| Cox (3½) |
(1-0) |
Ballance (3½) |
| O'Hare (3) |
(1-0) |
Lewis, W. (3½) |
| Wilson (3½) |
(0-1) |
Reilly (3) |
| Collins (2½) |
(1-0) |
Ireton (3) |
| Ó Siochrú (2½) |
(1-0) |
O'Leary (2½) |
| Coll (2½) |
(1-0) |
Stewart (2) |
| Cunnane (2) |
(1-0) |
Doyle (1) |
| Egan (2) |
1 |
Bye |
Scores after round 7
| Heidenfeld | 6½ |
| Cassidy | 6 |
| Byrne | 4½ |
| Cox | 4½ |
| Lewis, E. W. | 4 |
| O'Hare | 4 |
| O'Kane | 4 |
| O'Riordan | 4 |
| Reilly | 4 |
| Ballance | 3½ |
| Coll | 3½ |
| Collins | 3½ |
| Lewis, W. | 3½ |
| Ó Siochrú | 3½ |
| Wilson | 3½ |
| Cunnane | 3 |
| Egan | 3 |
| Ireton | 3 |
| O'Leary | 2½ |
| Stewart | 2 |
| Doyle | 1 |