Mixed luck for Brighouse sides
A Ryan Winder penalty followed by a Jacob Davis goal with seven minutes left settled the outcome in the visitors’ favour.
Lancaster, 12th in the table, had taken the lead through Neil Marshall on 28 minutes.
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Hide AdTown’s leading scorer Tom Matthews hauled his side level four minutes after the break with a precise finish.
Brighouse, who retained 16th position, are in action again on Tuesday when they travel to ninth-placed Droylsden.
Meanwhile, Brigouse Town’s development side earned a Halifax FA Saturday Cup final meeting with holders Ovenden West Riding when they beat Warley Rangers 2-0 at West Vale on Saturday.
Skipper Callum Lewis and Callum Charlton got their goals in the final quarter.