Having beaten Coventry Sphinx in the last round, underfire Liam O'Neill's side went a goal down to Michael Rankine's eight minute effort and then conceded a second in the 42nd minute when Richard Brodie found the back of the net.
However, there will be a Warwickshire representative in the first round on November 6th as Nuneaton Town beat Kendal Town 1-0 thanks to an 86 minute goal from Foster.