| Starting Appearances - David Shaw | Starting | Sub (Used) | Sub (Unused) | All |
|---|
| 08 August 1959 | Highland League Cup | Ross County 1:3 Inverness Thistle | details |
| 12 August 1959 | Highland League Cup | Ross County 1:2 Inverness Clachnacuddin | details |
| 15 August 1959 | Highland League | Caledonian FC 5:1 Ross County | details |
| 19 August 1959 | Highland League Cup | Ross County 0:5 Caledonian FC | details |
| 22 August 1959 | Highland League Cup | Inverness Thistle 4:2 Ross County | details |
| 26 August 1959 | Highland League Cup | Inverness Clachnacuddin 1:0 Ross County | details |
| 29 August 1959 | Highland League | Ross County 1:4 Buckie Thistle | details |