Blue Square Premier leaders Burton Albion will face Salisbury City in the FA Trophy second round after beating Farsley in their first-round replay.
Trophy holders Ebbsfleet United will visit Stalybridge Celtic, 6-1 winners against Stourbridge.
Barrow face local rivals Workington in one of only two fixtures that were fully settled in the initial draw after bad weather forced many postponements.
The second-round ties will be played on the weekend of Saturday, 10 January.
Lewes v Havant & Waterlooville Ilkeston Town v Kidderminster Burton Albion v Salisbury Basingstoke v Wrexham Hednesford v Welling Forest Green v Redditch Tiverton v Kettering Durham City v Southport AFC Telford v Hayes & Yeading Farnborough v Stevenage Torquay v Rushden & Diamonds Ebbsfleet Utd v Stalybridge Barrow v Workington Uxbridge v Swindon Supermarine Oxford United v York City Cambridge Utd v Crawley Town
Ties to be played on the weekend of Saturday, 10 January
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