2. Round | 25/08/1959 | Burnley FC | - | Everton FC | 5:2 | ||||
12. Round | 10/10/1959 | Leeds United | - | Everton FC | 3:3 | ||||
13. Round | 17/10/1959 | Everton FC | - | West Ham United | 0:1 | ||||
14. Round | 24/10/1959 | Chelsea FC | - | Everton FC | 1:0 | ||||
15. Round | 31/10/1959 | Everton FC | - | Leicester City | 6:1 | ||||
16. Round | 07/11/1959 | Newcastle United | - | Everton FC | 8:2 | ||||
23. Round | 26/12/1959 | Everton FC | - | Manchester City | 2:1 | ||||
24. Round | 28/12/1959 | Manchester City | - | Everton FC | 4:0 | ||||
29. Round | 13/02/1960 | Everton FC | - | Wolverhampton Wanderers | 0:2 | ||||
30. Round | 20/02/1960 | Arsenal FC | - | Everton FC | 2:1 | ||||
31. Round | 27/02/1960 | Everton FC | - | Preston North End | 4:0 | ||||
32. Round | 05/03/1960 | West Ham United | - | Everton FC | 2:2 | ||||
33. Round | 12/03/1960 | Everton FC | - | Chelsea FC | 6:1 | ||||
34. Round | 19/03/1960 | West Bromwich Albion | - | Everton FC | 6:2 | ||||
35. Round | 25/03/1960 | Everton FC | - | Newcastle United | 1:2 |