Bamber Bridge went down 2-1 at Mossley in the NPL First Division North after failing to recover from going two goals behind.
Michael Fish (20) and Andrew Keogh (54) put the hosts in command.
Danny Mahoney (74) got Brig’s consolation goal.
Elsewhere, Lancaster City raced into a 3-0 lead at home to Ossett Town through Aaron Taylor (6) and Ryan Winder (43, 48).
They held on after Ossett’s Nathan Curtis scored twice late on.
Clitheroe lost 4-2 at home to Trafford, despite strikes from Callum Hendry and Scott Bakkor. Tom Smyth, Phil Dean, Adam Roscoe and Chris McDonagh scored for Trafford.
Will Jones and Michael Monaghan got Burscough’s goals in a 2-0 home win against New Mills. Kendal Town lost 3-0 at home to Warrington Town.
AFC Fylde climbed to the top of the National League North table with a 2-1 victory at Corby Town.
Dave Challinor’s side took full advantage of Solihull Moors dropping points to take the top spot from their rivals.
Challinor made three changes to the side that thrashed Coleshill Town 9-0 in the FA Cup last time out.
Ritchie Baker opened the scoring shortly after the break and doubled the lead just five minutes later, converting a penalty after Dion Charles had been felled.
Duane Courtney made sure it was a nervy finish with a bullet header five minutes from time, but the Coasters held on for a vital victory.
Southport gained their third National League win of the season when they beat bottom-of-the-league Kidderminster Harriers at Aggborough by the only goal of the game.
Harriers, who have yet to win this season, looked the most likely to score, hitting the woodwork twice in the first half.
But in the 83rd minute, Andy Wright collected a long clearance from newly-signed goalkeeper Max Crocombe, crossed instantly to the unmarked Andy Bishop and his bullet header gave the keeper no chance.
The win keeps the Sandgrounders in 22nd place in the table but now only two points from safety with a game in hand.