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Round 5
12 July 1978
| Short (3) |
½-½ |
Barry (3½) |
| Ludgate (3) |
½-½ |
Curtin (3) |
| Littleton (2½) |
½-½ |
Barrington (3) |
| McDaid (2½) |
½-½ |
Wallace (2½) |
| Gibson (2) |
0-1 |
Palmer (2½) |
| Blair (2) |
½-½ |
Devenney (2) |
| O'Hare (2) |
0-1 |
Collins (2) |
| Carton (1½) |
1-0 |
Galligan (2) |
| Bergin (1½) |
0-1 |
Griffin (1½) |
| McDonnell (1½) |
½-½ |
Killane (1½) |
| McCarthy (1) |
0-1 |
Porter (1) |
| Clarke (1) |
1 |
Bye |
Scores after round 5
| Barry | 4 |
| Barrington | 3½ |
| Curtin | 3½ |
| Ludgate | 3½ |
| Palmer | 3½ |
| Short | 3½ |
| Collins | 3 |
| Littleton | 3 |
| McDaid | 3 |
| Wallace | 3 |
| Blair | 2½ |
| Carton | 2½ |
| Devenney | 2½ |
| Griffin | 2½ |
| Clarke | 2 |
| Galligan | 2 |
| Gibson | 2 |
| Killane | 2 |
| McDonnell | 2 |
| O'Hare | 2 |
| Porter | 2 |
| Bergin | 1½ |
| McCarthy | 1 |