| 1 | Sat 12 Aug | 42-1 v Pontefract CollieriesPontefract Collieries 1-2 Carlton Town |
| 2 | Tue 15 Aug | 42-1 v SheffieldCarlton Town 2-1 Sheffield |
| 3 | Wed 23 Aug | 42-1 v Winterton RangersWinterton Rangers 1-2 Carlton Town |
| 4 | Sat 26 Aug | 41-2 v North FerribyCarlton Town 1-2 North Ferriby |
| 5 | Mon 28 Aug | 43-0 v Grimsby BoroughGrimsby Borough 0-3 Carlton Town |
| 6 | Sat 30 Sep | 4 0-3 v Hebburn TownHebburn Town 3-0 Carlton Town |
| 7 | Sat 14 Oct | 42-0 v Ossett UnitedOssett United 0-2 Carlton Town |
| 8 | Tue 17 Oct | 42-1 v Belper TownCarlton Town 2-1 Belper Town |
| 9 | Sat 21 Oct | 4 0-2 v Stocksbridge Park SteelsCarlton Town 0-2 Stocksbridge Park Steels |
| 10 | Sat 13 Jan | 42-1 v Winterton RangersCarlton Town 2-1 Winterton Rangers |
| 11 | Sat 27 Jan | 40-0 v Stocksbridge Park SteelsStocksbridge Park Steels 0-0 Carlton Town |
| 12 | Tue 30 Jan | 4 1-3 v LiversedgeCarlton Town 1-3 Liversedge |
| 13 | Sat 3 Feb | 40-4 v Belper TownBelper Town 4-0 Carlton Town |
| 14 | Tue 20 Feb | 45-0 v Bridlington TownCarlton Town 5-0 Bridlington Town |
| 15 | Sat 9 Mar | 41-2 v Stockton TownCarlton Town 1-2 Stockton Town |
| 16 | Wed 20 Mar | 40-0 v Pontefract CollieriesCarlton Town 0-0 Pontefract Collieries |
| 17 | Sat 23 Mar | 43-2 v DunstonDunston 2-3 Carlton Town |
| 18 | Wed 27 Mar | 40-2 v Cleethorpes TownCleethorpes Town 2-0 Carlton Town |
| 19 | Sat 30 Mar | 42-0 v Stockton TownStockton Town 0-2 Carlton Town |
| 20 | Mon 1 Apr | 42-1 v Grantham TownCarlton Town 2-1 Grantham Town |
| 21 | Sat 6 Apr | 42-0 v Ashington AFCCarlton Town 2-0 Ashington AFC |
| 22 | Tue 9 Apr | 41-3 v Hebburn TownCarlton Town 1-3 Hebburn Town |
| 23 | Sat 13 Apr | 43-1 v Newton AycliffeNewton Aycliffe 1-3 Carlton Town |
| 24 | Tue 16 Apr | 43-0 v Ossett UnitedCarlton Town 3-0 Ossett United |
| 25 | Thu 18 Apr | 41-2 v LiversedgeLiversedge 2-1 Carlton Town |
| 26 | Sat 20 Apr | 42-1 v Consett AFCCarlton Town 2-1 Consett AFC |
| 27 | Tue 23 Apr | 41-3 v DunstonCarlton Town 1-3 Dunston |
| 28 | Tue 30 Apr | 40-2 v Stockton TownStockton Town 2-0 Carlton Town |
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