Away point for Brighouse
Town took the lead after eight minutes when a Daniel Naidole free kick was met by a superb diving header from Tyrone Gay.
However, Luke Dean equalised six minutes before half time for Railway, who remain 15th in the Evo-Stik Northern Premier Division One North table, one place above Brighouse.
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Hide AdTown, who have slipped down the league recently, look to have a good winning opportunity at home to lowly Ossett Alion on Tuesday.
They won 2-1 at Albion in mid-August and this week’s visitors are below them in the table and have played two games more.