| Results | |||
| Appearances/Scorers by Season (*Competitive games only) | |||
| Season 1959/1960 | |||
| Player | Competition | Appearances (Inc Sub) |
Goals |
| Bain, Ian | Division One | 2 | - |
| League Cup | 1 | - | |
| Benvie, Willie | Division One | 12 | 4 |
| Penman Cup | 1 | - | |
| Scottish Cup | 3 | 2 | |
| Colville, Harry | Division One | 17 | - |
| League Cup | 6 | - | |
| Penman Cup | 1 | - | |
| Connachan, Eddie | Division One | 31 | - |
| League Cup | 6 | - | |
| Penman Cup | 2 | - | |
| Scottish Cup | 3 | - | |
| Dickson, Charlie | Division One | 33 | 25 |
| League Cup | 6 | 2 | |
| Penman Cup | 2 | 2 | |
| Scottish Cup | 3 | 2 | |
| Donaldson, James | Division One | 1 | - |
| Ferguson, Graham | Division One | 2 | - |
| League Cup | 2 | - | |
| Penman Cup | 1 | - | |
| Fraser, Cammy | Division One | 19 | - |
| Penman Cup | 1 | - | |
| Scottish Cup | 3 | - | |
| Kerray, Jim | Division One | 11 | 4 |
| Penman Cup | 1 | - | |
| Mailer, Ron | Division One | 26 | 3 |
| League Cup | 4 | - | |
| Penman Cup | 1 | - | |
| McAulay, Jim | Division One | 2 | - |
| McWilliam, Gerry | Division One | 1 | - |
| Melrose, Harry | Division One | 31 | 7 |
| League Cup | 6 | 2 | |
| Penman Cup | 1 | 1 | |
| Scottish Cup | 3 | - | |
| Miller, George | Division One | 30 | - |
| League Cup | 1 | - | |
| Penman Cup | 2 | - | |
| Scottish Cup | 3 | 1 | |
| Newman (Trialist) | Penman Cup | 1 | - |
| Peebles, George | Division One | 33 | 9 |
| League Cup | 6 | 3 | |
| Penman Cup | 2 | - | |
| Scottish Cup | 3 | - | |
| Rattray, Norrie | Division One | 11 | 1 |
| League Cup | 6 | - | |
| Penman Cup | 1 | - | |
| Scottish Cup | 3 | - | |
| Reid, David | Division One | 1 | - |
| League Cup | 1 | - | |
| Rowan, Jim | Division One | 8 | 4 |
| League Cup | 5 | 1 | |
| Smith, Alex | Division One | 29 | 10 |
| League Cup | 6 | 1 | |
| Penman Cup | 1 | - | |
| Scottish Cup | 3 | 2 | |
| Stevenson, Jimmy | Division One | 14 | - |
| Penman Cup | 1 | - | |
| Scottish Cup | 1 | - | |
| Sweeney, John | Division One | 27 | 1 |
| League Cup | 6 | - | |
| Penman Cup | 1 | - | |
| Scottish Cup | 2 | - | |
| Thomson, Dave | Division One | 2 | - |
| Penman Cup | 1 | - | |
| Thomson, Robert | Division One | 2 | - |
| Wardhaugh, Jimmy | Division One | 10 | 4 |
| Penman Cup | 1 | - | |
| Williamson, Jackie | Division One | 19 | - |
| League Cup | 4 | - | |
| Scottish Cup | 3 | - | |