Town slipped back into the relegation zone as they went down 4-1 in the sun against 1874 Northwich on Saturday.
After their decent, albeit losing, performance at Glossop North End last Wednesday, Town had optimism that they might pull off a shock result.
However they were dealt a blow just before kick-off when inspirational player Joel Melia had to pull out with a groin strain, Anthony Pollard taking his place.
But Town went in front after 16 minutes when Jack Tinning fired the ball across the area, and at the far post, Harry Thompson struck a sweet shot past Conkie.
Northwich pressed for an equaliser, and Jordan Johnson ‘s fierce shot was tipped over by Scott Reid.
The Town defence did succumb after 23 minutes when they failed to deal with a corner, Reid first saving a close range shot from Michael Brandon then from Daniel Thomas, Thomas firing in the rebound from close range.
Thompson hit the top of Conkie’s right hand post from the edge of the area, and a minute later Thompson cleared the ball from almost on the line as Beadle managed to get a shot past Reid.
Northwich went ahead after 37 minutes, as Reid went to the corner of his six-yard box to cut out a high cross, but only managed to palm the ball into the path of Pollard, the ball hitting the Town player and rebounding into the net.
Reid then blocked Beadle’s shot with his feet, and the ball fell to Michael Brandon, who just failed to turn it in.
Ten minutes into the second half, Zachary Cooper hitting Conkie’s bar from just outside the box, and Northwich went straight down to the other end as Beadle again forced Reid into making a good save - however the ball flew up in the air, and Beadle placed it through Reid’s legs for Northwich’s third goal.
With Town now chasing the game gaps appeared in the Town defence, Reid having to save from Matthew Woolley on two occasions, before two minutes into injury time, Chris Lunn completed the scoring.
Town are at home to Runcorn Linnets tomorrow, kick-off 3 p.m.
Town’s East Lancashire League side won 5-1 at Peel Park in the first round of the President’s Cup.
George Skocki, Andrew Fox, Peter Mogford, David Jones and Damon Whelan, from the spot, scored the goals.