Goals from Anthony Cook, Donovan Simmonds and Jamie Slabber helped the Blue Square Bet South outfit to a 3-1 victory yesterday and they will travel to Broadfield Stadium with a third-round place at stake.
Hereford upset Shrewsbury on Saturday and will next travel to Cheltenham, currently third in League Two, with the clashes set to be played on the weekend of December 1 and 2.
Macclesfield were shock winners over Swindon on Saturday and they have been drawn to face either Guiseley or Barrow, while Blue Square North team Harrogate Town upset League Two Torquay and will relish the chance to play the Isthmian Premier Division side Hastings United.
MK Dons and AFC Wimbledon will set up a mouthwatering clash if they can beat Cambridge and York in their respective first-round replays.
Slough Town, the lowest-ranked side left in the competition, must beat Mansfield in their replay to set up an away clash with Lincoln or Walsall.
Former Sheffield United boss Micky Adams will take his Port Vale side to Bramall Lane in one of the more intriguing ties, League Two leaders Gillingham travel to Preston and Bury welcome Southend.
Carlisle host Bournemouth and Oldham entertain Doncaster in the two League One ties, Crewe await the winner of Burton and Altrincham and Notts County visit Rotherham.
Northampton will welcome Bradford or Brentford, Oxford must travel to Accrington and Fleetwood host Aldershot.
Gloucester City and Leyton Orient's clash as well as Braintree's encounter with League One leaders Tranmere were both postponed and Alfreton and Chesterfield await the respective winners.
Coventry will wait for Morecambe or Rochdale and Dorchester Town or Plymouth will travel to Luton Town or Nuneaton Town.
FA Cup second-round draw:
Preston v Gillingham
Bury v Southend
Sheffield Utd v Port Vale
Carlisle v Bournemouth
Crewe v Burton/Altrincham
Northampton/Bradford v Brentford
Luton/Nuneaton v Dorechester/Plymouth
Alfreton v Gloucester/Leyton Orient
Oldham v Doncaster
Braintree/Tranmere v Chesterfield
Rotherham v Notts County
Cheltenham v Hereford
Guiseley/Barrow v Macclesfield
Accrington v Oxford Utd
Lincoln/Walsall v Mansfield/Slough
Harrogate Town v Hastings Utd
Coventry v Morecambe/Rochdale
Cambridge City/MK Dons v York/AFC Wimbledon
Crawley v Chelmsford
Fleetwood Town v Aldershot
Ties to be played on the weekend of the 1/2 of December.