Previous leaders, Guiseley went down 3-0 to Southport.
King's Lynn go up to third following their 3-1 win over Hereford, while the Bulls slip to 13th. AFC Telford - whom Hereford host on Tuesday - are 12th.
Results
AFC Telford United 0-0 Gateshead
Alfreton Town 3-0 Blyth Spartans
Bradford (Park Avenue) 0-3 Kidderminster Harriers
Chester 2-1 Farsley Celtic
Darlington 3-0 Kettering Town
Gloucester City 1-1 Altrincham
King's Lynn Town 3-1 Hereford
Leamington 1-1 Curzon Ashton
Southport 3-0 Guiseley
Spennymoor Town P-P Boston United
York City 1-0 Brackley Town