The bottom-of-the-table side looked like they were about to register their first point of the campaign before Luisma Villa fired home a free kick in added-on time.
Grimsby Town made inroads up the league standings with a comfortable win over Welling United, while Torquay United suggested that they may have recovered from a slow start to the season by thrashing Nuneaton Town by a 4-0 scoreline.
Braintree Town condemned Bristol Rovers to a 2-0 defeat to move into the top half of the table, but Macclesfield Town slipped down the division after suffering their first loss of the season at Chester FC.
Two goals from Jake Reid helped Dover Athletic thrash AFC Telford United to leave the Shropshire side still waiting for their first win of the season, while Altrincham recorded just their second triumph of the campaign after edging out Dartford.
Results in full: AFC Telford United 1-4 Dover Athletic, Altrincham 2-1 Dartford, Barnet 2-1 Alfreton Town, Braintree Town 2-0 Bristol Rovers, Chester FC 1-0 Macclesfield Town, Eastleigh 2-1 Southport, Halifax Town 1-0 Aldershot Town, Forest Green Rovers 0-1 Wrexham, Grimsby Town 2-0 Welling United, Kidderminster Harriers 2-1 Gateshead, Torquay United 4-0 Nuneaton Town, Woking 3-1 Lincoln City