The Hawks slipped to a 3-2 defeat against Ebbsfleet in an entertaining contest at West Leigh Park.
After falling behind to an early Ashley Carew goal, the home side hit back just before the break through Joe Keehan.
Paul Lorraine restored the visitors’ lead but Guiseppe Sole made a quick reply to put the home side level again.
But 10 minutes from time, a misjudgement by goalkeeper Aaron Howe proved to be the Hawks’ undoing as substitute Ricky Shakes popped up to give the visitors a 3-2 win.
In the Zamaretto Southern League south & west division, Gosport had to rely on a late Liam Sewell goal to give them a share of the points against Bridgwater.
Jones had the chance to give Alex Pike’s side a surprise victory in the dying minutes, but he wasted the opportunity as the game ended 1-1.
Bognor maintained their pursuit of Ryman One south division honours thanks to a 2-1 victory at Eastbourne Town.
Michael Birmingham and Ben Johnson were on the mark for the Rocks.
Meanwhile, Moneyfields suffered a shock defeat at the hands of second-from-bottom Fawley in the Wessex League premier division.
The home side looked on course for victory when Danny Horrell opened the scoring at Dover Road.
But Fawley responded with two goals from Craig Feeney and a free-kick from Elliott Earl.
Moneys managed to reduce the deficit with a late strike from Rob Evans.