| Sat 03/08/19 | Ellesmere Rangers v Barnton | 0-3 | | | | | |
| Tue 06/08/19 | Vauxhall Motors v Barnton | 4-0 | | | | |  |
| Sat 10/08/19 | Barnton v Wythenshawe Town | 2-1 | | | | | |
| Sat 17/08/19 | Barnton v Cheadle Heath Nomads | 0-2 | | | | | |
| Tue 20/08/19 | Wythenshawe Amateurs v Barnton | 3-0 | | | | | |
| Fri 23/08/19 | Barnton v Cheadle Town | 1-0 | | | | | |
| Mon 26/08/19 | Barnton v West Didsbury & Chorlton | 0-1 | | | | | |
| Tue 10/09/19 | Abbey Hey v Barnton | 4-2 | | | | | |
| Sat 14/09/19 | St Martins v Barnton | 1-2 | | | | | |
| Fri 20/09/19 | Barnton v Abbey Hulton United | 0-2 | | | | | |
| Fri 27/09/19 | FC Oswestry Town v Barnton | 2-1 | | | | | |
| Sat 05/10/19 | Barnton v Abbey Hey | 0-4 | | | | | |
| Fri 18/10/19 | Rylands v Barnton | 5-0 | | | | | |
| Wed 30/10/19 | Barnton v Vauxhall Motors | 0-5 | | | | | |
| Sat 02/11/19 | Barnton v Eccleshall | 0-2 | | | | | |
| Sat 09/11/19 | Stone Old Alleynians v Barnton | 2-1 | | | | | |
| Wed 13/11/19 | Barnton v Alsager Town | 1-1 | | | | | |
| Sat 16/11/19 | Barnton v Cammell Laird 1907 | 2-3 | | | | | |
| Tue 19/11/19 | Sandbach United v Barnton | 0-1 | | | | | |
| Sat 30/11/19 | Maine Road v Barnton | 3-0 | | | | | |
| Wed 04/12/19 | Barnton v Abbey Hey | 2-3 | | | | | |
| Sat 07/12/19 | Barnton v Sandbach United | 3-2 | | |  | | |
| Sat 21/12/19 | Barnton v Ellesmere Rangers | 0-2 | | | | | |
| Sat 04/01/20 | New Mills v Barnton | 1-0 | | | | | |
| Sat 11/01/20 | Barnton v Stone Old Alleynians | 1-6 | | | | | |
| Sat 18/01/20 | Abbey Hulton United v Barnton | 1-0 | | | | | |
| Sat 25/01/20 | Barnton v Maine Road | 2-3 | | | | | |
| Sat 01/02/20 | Cheadle Heath Nomads v Barnton | 1-2 | | | | | |
| Tue 04/02/20 | Wythenshawe Town v Barnton | 5-0 | | | | | |
| Sat 08/02/20 | Barnton v St Martins | 1-0 | | | | | |
| Tue 11/02/20 | Cammell Laird 1907 v Barnton | 0-2 | | | | | |
| Sat 07/03/20 | Barnton v Vauxhall Motors | 1-4 | | | | | |
