Two goals in three first-half minutes from Josh Wakefield and Harry Beautyman help Welling beat in-form Lincoln.
Nuneaton's third win in five games sees them strengthen their grip on a play-off place as they ease past Welling.
Welling United release 24-year-old Loick Pires after the Portuguese forward agrees to terminate his contract.
Welling leapfrog Conference Premier rivals Macclesfield after an impressive second-half performance at Park View Road.
Fixtures, Results & Competitions
Conference Premier side Welling extend teenage Charlton striker Tobi Sho-Silva's loan spell at the club.
Gateshead miss the chance to climb into the Skrill Premier top five as midfielder Joe Healy scores his fifth goal in six games for Welling.
Tamworth pick up a point against Welling with a goal from debutant Matt Godden.
Conference Premier side Welling United sign 21-year-old Millwall defender Tom Bender on loan until 26 April.
Exeter defender Doug Bergqvist leaves on a free transfer to join Swedish club Ostersunds FK on a two-year contract.
Saturday's Conference Premier game between Welling United and Gateshead is postponed because of a waterlogged pitch.
Teenager Harry Cornick scores his first goal for Welling in a 3-1 win at struggling Chester.
Conference Premier side Welling sign Charlton's Tobi Sho-Silva, Brentford's Alfie Mawson and Bristol City's Toby Ajala.
Shaun Harrad scores on his debut for Alfreton as Nicky Law's side continue their promotion push with a win at Welling.
Welling United sign Bournemouth forward Harry Cornick on a one-month loan deal.
Marcus Maddison's penalty earns Conference Premier high-flyers a point against a resolute Welling United.
Welling win for the first time in four Conference Premier games as Joe Healy scores twice against 10-man Woking.
Conference Premier leaders Luton Town sign Welling United centre-back Fraser Franks for an undisclosed fee.
Bottom-of-the-table Conference Premier side Hyde beat Welling to end a winless streak of 29 league games going back to April.
Jim Stevenson's first goal for Dartford helps them secure their first point in 11 Conference Premier games at Welling.
Welling United's match against Braintree Town in the Conference Premier is called off because of a waterlogged pitch.