| 1 | Sat 10 Aug | 4 1-0 v Bridlington TownBridlington Town 0-1 Carlton Town |
| 2 | Tue 13 Aug | 41-1 v SheffieldCarlton Town 1-1 Sheffield |
| 3 | Tue 20 Aug | 40-3 v Cleethorpes TownCleethorpes Town 3-0 Carlton Town |
| 4 | Sat 24 Aug | 45-1 v Bishop AucklandCarlton Town 5-1 Bishop Auckland |
| 5 | Mon 26 Aug | 41-3 v Garforth TownGarforth Town 3-1 Carlton Town |
| 6 | Sat 28 Sep | 42-0 v Pontefract CollieriesPontefract Collieries 0-2 Carlton Town |
| 7 | Sat 5 Oct | 42-2 v LiversedgeCarlton Town 2-2 Liversedge |
| 8 | Wed 9 Oct | 41-0 v Grimsby BoroughGrimsby Borough 0-1 Carlton Town |
| 9 | Sat 12 Oct | 43-0 v Consett AFCCarlton Town 3-0 Consett AFC |
| 10 | Tue 15 Oct | 41-1 v Bradford (Park Avenue)Bradford (Park Avenue) 1-1 Carlton Town |
| 11 | Sat 19 Oct | 40-4 v Emley AFCEmley AFC 4-0 Carlton Town |
| 12 | Tue 22 Oct | 41-2 v Belper TownCarlton Town 1-2 Belper Town |
| 13 | Sat 26 Oct | 4 2-1 v Heaton StanningtonCarlton Town 2-1 Heaton Stannington |
| 14 | Tue 29 Oct | 40-0 v Ashington AFCCarlton Town 0-0 Ashington AFC |
| 15 | Sat 2 Nov | 42-3 v Newton AycliffeNewton Aycliffe 3-2 Carlton Town |
| 16 | Sat 9 Nov | 42-3 v Stocksbridge Park SteelsCarlton Town 2-3 Stocksbridge Park Steels |
| 17 | Sat 16 Nov | 40-0 v Ossett UnitedOssett United 0-0 Carlton Town |
| 18 | Tue 26 Nov | 40-2 v DunstonCarlton Town 0-2 Dunston |
| 19 | Sat 30 Nov | 41-4 v Brighouse TownBrighouse Town 4-1 Carlton Town |
| 20 | Sat 7 Dec | 42-1 v Bradford (Park Avenue)Carlton Town 2-1 Bradford (Park Avenue) |
| 21 | Sat 14 Dec | 42-2 v Ashington AFCAshington AFC 2-2 Carlton Town |
| 22 | Sat 21 Dec | 43-2 v Bridlington TownCarlton Town 3-2 Bridlington Town |
| 23 | Thu 26 Dec | 40-1 v Sherwood CollierySherwood Colliery 1-0 Carlton Town |
| 24 | Sat 28 Dec | 43-1 v Garforth TownCarlton Town 3-1 Garforth Town |
| 25 | Sat 18 Jan | 43-0 v Pontefract CollieriesCarlton Town 3-0 Pontefract Collieries |
| 26 | Sat 25 Jan | 41-1 v Consett AFCConsett AFC 1-1 Carlton Town |
| 27 | Sat 1 Feb | 41-1 v Grimsby BoroughCarlton Town 1-1 Grimsby Borough |
| 28 | Sat 8 Feb | 43-1 v Belper TownBelper Town 1-3 Carlton Town |
| 29 | Tue 18 Feb | 42-1 v SheffieldSheffield 1-2 Carlton Town |
| 30 | Sat 22 Feb | 42-2 v Newton AycliffeCarlton Town 2-2 Newton Aycliffe |
| 31 | Sat 1 Mar | 43-0 v Heaton StanningtonHeaton Stannington 0-3 Carlton Town |
| 32 | Sat 8 Mar | 41-0 v North FerribyCarlton Town 1-0 North Ferriby |
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