| Results | |||
| Appearances/Scorers by Season (*Competitive games only) | |||
| Season 1958/1959 | |||
| Player | Competition | Appearances (Inc Sub) |
Goals |
| Bain, Ian | Division One | 22 | - |
| League Cup | 8 | - | |
| Penman Cup | 2 | - | |
| Scottish Cup | 3 | - | |
| Beaton, Bill | Division One | 7 | - |
| League Cup | 8 | - | |
| Brown, John | Division One | 1 | - |
| League Cup | 1 | - | |
| Scottish Cup | 1 | - | |
| Burns, Ralph | Division One | 5 | 1 |
| League Cup | 4 | - | |
| Colville, Harry | Division One | 35 | - |
| League Cup | 8 | - | |
| Penman Cup | 2 | - | |
| Scottish Cup | 5 | - | |
| Connachan, Eddie | Division One | 24 | - |
| Penman Cup | 2 | - | |
| Scottish Cup | 3 | - | |
| Davidson, David | Penman Cup | 2 | - |
| Scottish Cup | 2 | 1 | |
| Dickson, Charlie | Division One | 28 | 15 |
| League Cup | 8 | 9 | |
| Scottish Cup | 2 | - | |
| Duthie, George | Division One | 21 | 2 |
| League Cup | 8 | 1 | |
| Scottish Cup | 4 | - | |
| Ferguson, Graham | Division One | 6 | - |
| Penman Cup | 1 | - | |
| Scottish Cup | 1 | - | |
| Harvey, Willie | Division One | 3 | - |
| League Cup | 6 | 2 | |
| Higgins, Hugh | Division One | 7 | 1 |
| Scottish Cup | 1 | - | |
| Logan, John | Division One | 1 | - |
| Lumsden | League Cup | 1 | 1 |
| Mailer, Ron | Division One | 21 | 1 |
| League Cup | 3 | 1 | |
| Penman Cup | 2 | - | |
| Scottish Cup | 4 | - | |
| McWilliam, Gerry | Division One | 10 | 3 |
| Penman Cup | 1 | - | |
| Scottish Cup | 3 | 2 | |
| Melrose, Harry | Division One | 33 | 21 |
| League Cup | 7 | 5 | |
| Penman Cup | 2 | - | |
| Scottish Cup | 5 | 2 | |
| Napier, Charlie | Division One | 10 | 3 |
| Scottish Cup | 1 | 1 | |
| Peebles, George | Division One | 33 | 4 |
| League Cup | 8 | 1 | |
| Penman Cup | 2 | - | |
| Scottish Cup | 4 | - | |
| Rattray, Norrie | Division One | 19 | 1 |
| Penman Cup | 2 | - | |
| Scottish Cup | 1 | - | |
| Reid, David | Penman Cup | 1 | 2 |
| Robertson | Division One | 4 | - |
| Scottish Cup | 2 | - | |
| Smith, Alex | Division One | 25 | 7 |
| League Cup | 2 | - | |
| Penman Cup | 2 | 1 | |
| Scottish Cup | 5 | 4 | |
| Sweeney, John | Division One | 34 | - |
| League Cup | 7 | - | |
| Penman Cup | 1 | - | |
| Scottish Cup | 5 | - | |
| Thomson, Robert | Division One | 4 | - |
| Watson, Jimmy | Division One | 25 | 5 |
| League Cup | 8 | 5 | |
| Scottish Cup | 3 | - | |
| Williamson, Jackie | Division One | 6 | 2 |
| Williamson, W | Division One | 1 | - |
| Woods, Norman | League Cup | 1 | - |