A hat-trick by Matthew Bowen was not enough to claim a fourth successive victory for the Kingfishers at newly-promoted Caerau.
Hoping to build on an opening league victory at old rivals Newport Civil Service, when a late Elliot Ford goal claimed all three points, Town got off to a flyer as Sam Palmer netted after only two minutes.
Bowen grabbed his first of the game late in the half to give Town a decent cushion and they looked to set up a good platform for the Welsh Cup clash at first division Bridgend Town on Friday (kick off 7.30pm).