| Date | Division | Match | String | Opponent | Result |
| 26/09/2019 | Div 2 West | Barnton CC 1 v New Brighton 1 | 3 | Jason Reed | Won 3-0 |
| 03/10/2019 | Div 2 West | Liverpool CC 2 v Barnton CC 1 | 3 | James Thompson | Lost 0-3 |
| 10/10/2019 | Div 2 West | Barnton CC 1 v Heswall 2 | 3 | Mike Corran | Lost 2-3 |
| 17/10/2019 | Div 2 West | Woolston 1 v Barnton CC 1 | 3 | Steve Daborn | Won 3-1 |
| 24/10/2019 | Div 2 West | Liverpool CC 3 v Barnton CC 1 | 3 | Matthew Dolphin | Won 3-1 |
| 31/10/2019 | Div 2 West | Barnton CC 1 v Xaverian 1 | 3 | Luke Davies | Won 3-2 |
| 07/11/2019 | Div 2 West | Wrexham Brymbo 1 v Barnton CC 1 | 2 | John Ashton | Lost 1-3 |
| 14/11/2019 | Div 2 West | Barnton CC 1 v St Asaph 1 | 3 | Ben Murphy | Lost 2-3 |
| 21/11/2019 | Div 2 West | Heswall 1 v Barnton CC 1 | 3 | Ian Stokes | Won 3-0 |
| 28/11/2019 | Div 2 West | Barnton CC 1 v Cheshire Officers 1 | 3 | Nigel Thomas | Won 3-0 |
| 05/12/2019 | Div 2 West | Chester Rugby 1 v Barnton CC 1 | 3 | Kieran Sykes | Lost 2-3 |
| 12/12/2019 | Div 2 West | Barnton CC 1 v Neston 1 | 1 | Jon Hunter | Won 3-1 |
| 09/01/2020 | Div 2 West | Barnton CC 1 v Northern Crosby 1 | 2 | Alex Berry | Won 3-0 |
| 16/01/2020 | Div 2 West | New Brighton 1 v Barnton CC 1 | 2 | Jason Reed | Won 3-0 |
| 23/01/2020 | Div 2 West | Barnton CC 1 v Liverpool CC 2 | 2 | Charles Cathcart | Lost 1-3 |
| 30/01/2020 | Div 2 West | Heswall 2 v Barnton CC 1 | 2 | Craig Beecham | Won 3-0 |
| 06/02/2020 | Div 2 West | Barnton CC 1 v Woolston 1 | 3 | Steve Daborn | Won 3-0 |
| 20/02/2020 | Div 2 West | Barnton CC 1 v Liverpool CC 3 | 2 | Simon Jeffreys | Won 3-1 |
| 27/02/2020 | Div 2 West | Xaverian 1 v Barnton CC 1 | 2 | Ian Noble | Won 3-0 |
| 05/03/2020 | Div 2 West | Barnton CC 1 v Wrexham Brymbo 1 | 1 | Jon Davies | Lost 1-3 |
