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Round 6
13 July 1978
| Curtin (3½) |
1-0 |
Barry (4) |
| Ludgate (3½) |
1-0 |
Short (3½) |
| Palmer (3½) |
½-½ |
Barrington (3½) |
| McDaid (3) |
½-½ |
Littleton (3) |
| Collins (3) |
1-0 |
Carton (2½) |
| Wallace (3) |
½-½ |
Devenney (2½) |
| Griffin (2½) |
½-½ |
Blair (2½) |
| Clarke (2) |
1-0 |
O'Hare (2) |
| Killane (2) |
½-½ |
Galligan (2) |
| Porter (2) |
½-½ |
Gibson (2) |
| McCarthy (1) |
0-1 |
McDonnell (2) |
| Bergin (1½) |
1 |
Bye |
Scores after round 6
| Curtin | 4½ |
| Ludgate | 4½ |
| Barrington | 4 |
| Barry | 4 |
| Collins | 4 |
| Palmer | 4 |
| Littleton | 3½ |
| McDaid | 3½ |
| Short | 3½ |
| Wallace | 3½ |
| Blair | 3 |
| Clarke | 3 |
| Devenney | 3 |
| Griffin | 3 |
| McDonnell | 3 |
| Bergin | 2½ |
| Carton | 2½ |
| Galligan | 2½ |
| Gibson | 2½ |
| Killane | 2½ |
| Porter | 2½ |
| O'Hare | 2 |
| McCarthy | 1 |