| 1 | Sat 12 Aug | 12-1 v Pontefract CollieriesPontefract Collieries 1-2 Carlton Town |
| 2 | Tue 15 Aug | 12-1 v SheffieldCarlton Town 2-1 Sheffield |
| 3 | Wed 23 Aug | 1 2-1 v Winterton RangersWinterton Rangers 1-2 Carlton Town |
| 4 | Sat 26 Aug | 11-2 v North FerribyCarlton Town 1-2 North Ferriby |
| 5 | Mon 28 Aug | 13-0 v Grimsby BoroughGrimsby Borough 0-3 Carlton Town |
| 6 | Sat 30 Sep | 10-3 v Hebburn TownHebburn Town 3-0 Carlton Town |
| 7 | Sat 14 Oct | 12-0 v Ossett UnitedOssett United 0-2 Carlton Town |
| 8 | Tue 17 Oct | 12-1 v Belper TownCarlton Town 2-1 Belper Town |
| 9 | Sat 21 Oct | 10-2 v Stocksbridge Park SteelsCarlton Town 0-2 Stocksbridge Park Steels |
| 10 | Sat 28 Oct | 11-0 v Bridlington TownBridlington Town 0-1 Carlton Town |
| 11 | Sat 11 Nov | 10-4 v Ashington AFCAshington AFC 4-0 Carlton Town |
| 12 | Sat 18 Nov | 13-0 v Brighouse TownCarlton Town 3-0 Brighouse Town |
| 13 | Sat 25 Nov | 11-2 v Consett AFCConsett AFC 2-1 Carlton Town |
| 14 | Tue 5 Dec | 11-0 v Cleethorpes TownCarlton Town 1-0 Cleethorpes Town |
| 15 | Sat 16 Dec | 12-0 v SheffieldSheffield 0-2 Carlton Town |
| 16 | Tue 19 Dec | 10-3 v Newton AycliffeCarlton Town 0-3 Newton Aycliffe |
| 17 | Tue 26 Dec | 13-2 v Grantham TownGrantham Town 2-3 Carlton Town |
| 18 | Fri 29 Dec | 11-2 v Grimsby BoroughCarlton Town 1-2 Grimsby Borough |
| 19 | Sat 6 Jan | 14-1 v North FerribyNorth Ferriby 1-4 Carlton Town |
| 20 | Tue 20 Feb | 15-0 v Bridlington TownCarlton Town 5-0 Bridlington Town |
| 21 | Sat 9 Mar | 11-2 v Stockton TownCarlton Town 1-2 Stockton Town |
| 22 | Wed 20 Mar | 10-0 v Pontefract CollieriesCarlton Town 0-0 Pontefract Collieries |
| 23 | Sat 23 Mar | 13-2 v DunstonDunston 2-3 Carlton Town |
| 24 | Sat 30 Mar | 12-0 v Stockton TownStockton Town 0-2 Carlton Town |
| 25 | Mon 1 Apr | 12-1 v Grantham TownCarlton Town 2-1 Grantham Town |
| 26 | Sat 6 Apr | 1 2-0 v Ashington AFCCarlton Town 2-0 Ashington AFC |
| 27 | Tue 9 Apr | 11-3 v Hebburn TownCarlton Town 1-3 Hebburn Town |
| 28 | Sat 13 Apr | 13-1 v Newton AycliffeNewton Aycliffe 1-3 Carlton Town |
| 29 | Tue 16 Apr | 13-0 v Ossett UnitedCarlton Town 3-0 Ossett United |
| 30 | Thu 18 Apr | 11-2 v LiversedgeLiversedge 2-1 Carlton Town |
| 31 | Sat 20 Apr | 12-1 v Consett AFCCarlton Town 2-1 Consett AFC |
| 32 | Tue 23 Apr | 11-3 v DunstonCarlton Town 1-3 Dunston |
| 33 | Sat 27 Apr | 10-2 v Brighouse TownBrighouse Town 2-0 Carlton Town |
| 34 | Tue 30 Apr | 10-2 v Stockton TownStockton Town 2-0 Carlton Town |
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