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Round 4
19 July 1976
| Kernan (2½) |
1-0 |
Delaney (2½) |
| Ludgate (2½) |
½-½ |
Devenney (2½) |
| Hegarty (2) |
½-½ |
Healy (2½) |
| Orr (2) |
0-1 |
Keogh (2) |
| Doyle (2) |
1-0 |
McCarthy (2) |
| O'Brien (1½) |
½-½ |
Littleton (2) |
| McDaid (1½) |
1-0 |
McCormick (1½) |
| James (1½) |
½-½ |
Blair (1½) |
| Jackson, G. (1½) |
0-1 |
Wallace (1) |
| Clarke (1) |
½-½ |
Byrne (1) |
| Palmer (1) |
½-½ |
McComb (1) |
| Taylor (1) |
1-0 |
Hall (1) |
| Gilmore (1) |
1-0 |
Cootes (½) |
| O'Hare (0) |
0-1 |
Jackson, D. (0) |
Scores after round 4
| Kernan | 3½ |
| Devenney | 3 |
| Doyle | 3 |
| Healy | 3 |
| Keogh | 3 |
| Ludgate | 3 |
| Delaney | 2½ |
| Hegarty | 2½ |
| Littleton | 2½ |
| McDaid | 2½ |
| Blair | 2 |
| Gilmore | 2 |
| James | 2 |
| McCarthy | 2 |
| O'Brien | 2 |
| Orr | 2 |
| Taylor | 2 |
| Wallace | 2 |
| Byrne | 1½ |
| Clarke | 1½ |
| Jackson, G. | 1½ |
| McComb | 1½ |
| McCormick | 1½ |
| Palmer | 1½ |
| Hall | 1 |
| Jackson, D. | 1 |
| Cootes | ½ |
| O'Hare | 0 |