Gate actually toook the lead early in the first half but were pegged back to trail 1-3 by half time.
They played a brilliant defensive action in the second half rain to keep the visitors goalless for the last 45 minutes.
Elsewhere, AFC Blackpool picked up a 1-0 win away at Runcorn Linnets.
Squires Gate are at home again on Tuesday evening when they face Barnoldswick Town in the NWCFL Premier Divisiopn - 7.45 pm kick off.
AFC Blackpool do not have a midweek game and are away at Alsager Town next Saturday 17th November. The same day Squires gate are at home to Stockport Sports.
More info: www.nwcfl.com www.afcblackpool.co.uk www.squiresgatefc.co.uk
