Their replay tonight at Bath City ended in controversial fashion as the Swindon side scored in the first minute of stoppage time to win it 4-3.
They took an early lead through Nick Stanley on three minutes, but that lead lasted just two minutes when Sido Jombati equalised for favourites Bath. It all then seemed to be going Bath's way when they took the lead on 21 minutes through Adam Connolly and doubled that lead twelve minutes later with a Hector Mackie goal.
But back came Supermarine. Matt Robinson pulled one back four minutes before half time and in first half stoppage time Leigh Henry brought them level at 3-3.
That's how it stayed until stoppage time at the end of the game and with extra time looming. Supermarine won a corner and Kyle Lapham rose unchallenged at the far post to meet Chris Taylor's flag kick.
It deflected off a defender and onto the crossbar and seemingly back into play. The assistant referee wasn't too concerned but the referee awarded the goal leaving the home side furious.
There was no time to come back and so on the Clarets Mad Road to Wembley our First Round tie is Swindon Supermarine v Eastwood Town. The game will be played at Supermarine's Webb's Wood Stadium.
Revised First Round Draw
Colchester United v Bradford City
Corby Town v Luton Town
Harrow Borough v Chesterfield
Notts County v Gateshead
Stevenage v Milton Keynes Franchise
Southport v Sheffield Wednesday
Rotherham United v York City
Havant & Waterlooville v Droylsden
Bury v Exeter City
Cheltenham Town v Morecambe
Hayes & Yeading United v Wycombe Wanderers
Dagenham & Redbridge v Leyton Orient
AFC Wimbledon v Ebbsfleet United
Lincoln City v Nuneaton Town
Mansfield Town v Torquay United
Hereford United v Hythe Town
AFC Bournemouth v Tranmere Rovers
Chelmsford City v Hendon or Metropolitan Police
Swindon Supermarine v Eastwood Town
Rushden & Diamonds v Yeovil Town
Southampton v Shrewsbury Town
Cambridge United v Huddersfield Town
Burton Albion v Oxford United
Gillingham v Dover Athletic
Tamworth v Crewe Alexandra
Darlington v Bristol Rovers
Guiseley v Crawley Town
Brighton & Hove Albion v Woking
Macclesfield Town v Southend United
Rochdale v FC United of Manchester
Carlisle United v Sheffield or Tipton Town
Dartford v Port Vale
Forest Green Rovers v Northampton Town
Fleetwood Town v Walsall
Barnet v Charlton Athletic
Plymouth Argyle v Swindon Town
Accrington Stanley v Oldham Athletic
Hartlepool United v Vauxhall Motors
Stockport County v Peterborough United
Brentford v Aldershot Town