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The draw has been made for the FA Cup Third Qualifying Round.
Both Southern Counties East League teams that remain in the competition have been drawn away to National League South sides.
Chatham's reward for winning at Folkestone is a trip to full-time Havant & Waterlooville, who defeated Horsham on Sunday.
Sheppey knocked out Welling in the Second Qualifying Round on Saturday and now face a trip to Eastbourne Borough.
The two Southern Counties East League teams will earn at least £10,000 in prize money from their FA Cup runs this season.
Only Ebbsfleet United and Cray Valley were handed home draws. Fleet host Chippenham and Cray Valley entertain Aveley.
Tonbridge Angels travel to Isthmian South East Chichester, while Maidstone and Cray Wanderers have long midweek journeys.
Maidstone make the trip to Dorest to face Wimborne Town and Cray Wanderers visit step 4 side Bristol Manor Farm,
The ties are due to be played midweek, in the week commencing Monday October 12.
Winning teams will pick up £5,625 from the prize fund with losing sides taking home £1,875.
FA Cup Third Qualifying Round draw (October 12/13/14):
Bristol Manor Farm v Cray Wanderers
Chichester City v Tonbridge Angels
Cray Valley v Aveley
Eastbourne Borough v Sheppey
Ebbsfleet United v Chippenham Town
Havant & Waterlooville v Chatham
Wimborne Town v Maidstone
Other ties: Southport v South Shields, Longridge Town v Skelmersdale United, Chester v Spennymoor Town, Marske United v Blyth Spartans, Farsley Celtic v AFC Fylde, Darlington v Tadcaster Albion, Marine v Nantwich Town, Chorley v York City, Guiseley v Matlock Town, FC United of Manchester v Alfreton Town, St Albans v Mickleover, Braintree Town v Maldon & Tiptree, Ilkeston Town v Alvechurch, Bishop's Stortford v Royston Town, Stafford Rangers v Hereford, Peterborough Sports v Banbury United, Leiston v AFC Telford United, Brackley Town v Kettering Town, Cambridge City v Halesowen Town, Oxford City v Tamworth, Bury Town v Nuneaton Borough, Boston United v Hemel Hempstead, Haringey Borough v Bracknell Town, Bedfont Sports Club v Canvey Island, Hartley Wintney v Barking, Hayes & Yeading v Chipstead, Slough Town v Bath City, Taunton Town v Truro City, Christchurch v Dulwich Hamlet, Sholing v Walton Casuals, Weston Super Mare v Larkhall Athletic, Hampton & Richmond v Hornchurch, Burnham or Whyteleafe v Concord Rangers.