| Date | Division | Match | String | Opponent | Result |
| 19/09/2019 | Div 2 West | Northern Crosby 1 v Barnton CC 1 | 2 | Mathew Davies | Lost 2-3 |
| 26/09/2019 | Div 2 West | Barnton CC 1 v New Brighton 1 | 2 | Nick Munn | Won 3-1 |
| 03/10/2019 | Div 2 West | Liverpool CC 2 v Barnton CC 1 | 2 | Charles Cathcart | Lost 1-3 |
| 10/10/2019 | Div 2 West | Barnton CC 1 v Heswall 2 | 2 | Andy Corran | Won 3-2 |
| 17/10/2019 | Div 2 West | Woolston 1 v Barnton CC 1 | 2 | Matt Uren | Won 3-0 |
| 24/10/2019 | Div 2 West | Liverpool CC 3 v Barnton CC 1 | 2 | Cory Harding | Lost 2-3 |
| 31/10/2019 | Div 2 West | Barnton CC 1 v Xaverian 1 | 2 | Nick Jones | Won 3-1 |
| 07/11/2019 | Div 2 West | Wrexham Brymbo 1 v Barnton CC 1 | 1 | Jon Davies | Lost 0-3 |
| 14/11/2019 | Div 2 West | Barnton CC 1 v St Asaph 1 | 2 | Hari Major | Won 3-0 |
| 21/11/2019 | Div 2 West | Heswall 1 v Barnton CC 1 | 2 | Layna Beattie | Won 3-0 |
| 28/11/2019 | Div 2 West | Barnton CC 1 v Cheshire Officers 1 | 2 | Gareth Frost | Won 3-1 |
| 05/12/2019 | Div 2 West | Chester Rugby 1 v Barnton CC 1 | 2 | Lewis Barlow | Lost 2-3 |
| 06/02/2020 | Div 2 West | Barnton CC 1 v Woolston 1 | 2 | Dave Williams | Won 3-0 |
| 12/03/2020 | Div 2 West | St Asaph 1 v Barnton CC 1 | 1 | George Thomas | Lost 0-3 |
