Newport County dropped two rare home points but still lead the Blue Square South table by seventeen points after Dover Athletic were held and Woking beaten in the game of the day.
Jamie Collins gave the Exiles a great start with a goal inside the opening 5 minutes and when Kerry Morgan made it 2-0 just before the hour-mark, another routine win looked on the cards.
However, Tom Whitnell pulled one back for the battling Wings on 62 minutes and he shocked the home support by equalising with 15 minutes to go.
Paul Olima scored the only goal of the game right on half time at Kingfield to earn visiting Thurrock all three points and leap-frog Woking and Dover into second spot.
Dover were held to a goalless draw at Twerton Park by Bath City, while another play-off chaser, Braintree Town, were held to a 2-2 draw at the Dripping Pan by struggling Lewes, who came back from being two-down.
Sean Marks on 6 minutes and George Purcell on 27 gave the Iron their advantage, but Joe Keehan bagged a brace on 44 and then with 4 minutes remaining to earn the Rooks a fine point.
That point was made even more precious with the news that the two sides below them both lost.
Weymouth went down to a 3-1 defeat at Wheatsheaf Park against play-off chasing Staines Town, whose Leroy Griffiths gave them an 11th minute lead that Howard Newton doubled 9 minutes later.
Pierre Joseph-Dubois reduced the deficit 5 minutes after the break, but Ali Chaaban made it game over with number three with 16 minutes left.
Weston-super-Mare were beaten 2-1 at Clarence Park by St Albans City, whose Ian Dunn enjoyed a great debut by netting a brace after 45 and 61 minutes after Ben Cleverley had given the Seasiders a 43rd minute lead.
Worcester City were pushed closer to the drop zone after going down to a 3-2 defeat at Westleigh Park to Havant & Waterlooville, whose Manny Williams helped himself to a hat trick – Darren Clyde and Alfie Carter replying for City.
Maidenhead United enjoyed a good 4-0 York Road win over Bishop`s Stortford to pull to within a couple of points of the Blues in the table.
Sam Collins gave the Magpies a 34th minute breakthrough. Ross Wall made it 2-0 right on half time, with Bradley Quamina making it 3-0 just past the hour-mark, and Wall added his second and Maidenhead`s fourth 16 minutes from time.
Lawrence Yaku bagged a brace on 70 and 90 minutes to help Hampton & Richmond Borough to a crucial 2-1 win at the Camrose against Basingstoke Town, who had led through a 7th minute Gary Frewen spot-kick.
Chelmsford City and Eastleigh shared a 2-2 Melbourne Park draw in which Richard Gillespie had the Spitfires in front as early as the 4th minute.
Dave Rainford equalised after 31 minutes only for new signing Staforde Palmer to make it 2-1 to the visitors right on the half time whistle.
Anthony Cook grabbed an 83rd minute leveller for City to earn a share of the spoils.
