Guiseley and Dover Athletic became the first two teams to reach the third round of the FA Trophy after beating the weather to play on Tuesday.
With the other 14 matches off, Guiseley took advantage of Blyth's ability to host their match by winning 2-1.
Steve Burton and Jez Fitzgerald scored for the 10-man Yorkshire side, before a late James Cotterill own goal.
Dover won 1-0 at Fleetwood Town courtesy of Adam Birchall's goal - Town's first home defeat since March.
Saturday's 16 second round ties were rearranged for this week and the 14 games that were postponed again have now been rescheduled for seven days later.
Newport's game with York on Wednesday was the last to fall.
Meanwhile, the Football Association has held the draw for the third round of the competition before any second round ties had been settled.
Guiseley will host Gainsborough Trinity or Tamworth, while Dover are at Stevenage Borough or Vauxhall Motors.
Worcester would face local rivals Kidderminster if they both progress.
FA Trophy fixtures (all round two except otherwise stated) All games kick off at 1945 GMT
Monday, 11 January
Chelmsford P-P Crawley Town
Worcester P-P Carshalton
Tuesday, 12 January
AFC Wimbledon P-P Altrincham
Blyth Spartans 1-2 Guiseley
Cambridge United P-P Eastbourne
Fleetwood Town 0-1 Dover
Gainsborough P-P Tamworth
Gateshead P-P Chippenham
Kidderminster P-P Lewes
Maidenhead P-P Barrow
Maidstone Utd P-P Histon (round one)
Oxford P-P Woking
Stalybridge P-P Corby
Stevenage P-P Vauxhall Motors
Workington P-P Rushden
Wednesday, 13 January
Newport County P-P York
FA Trophy third round draw
Saturday, 30 January (all times 1500 GMT)
Newport County or York City v Stalybridge Celtic or Corby Town
Guiseley v Gainsborough Trinity or Tamworth
Worcester City or Carshalton Athletic v Kidderminster Harriers or Lewes
AFC Wimbledon or Altrincham v Workington or Rushden & Diamonds
Cambridge United or Eastbourne Borough v Salisbury City or Maidstone or Histon
Stevenage Borough or Vauxhall Motors v Dover Athletic
Maidenhead United or Barrow v Gateshead or Chippenham Town
Chelmsford City or Crawley Town v Oxford United or Woking
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