Lynn made it three consecutive league wins and eight unbeaten with 3-1 win at Kirby Road.
Jordan Richards and Rory McAuley were drafted into the starting line-up to replace the injured Aaron Jones and Michael Clunan.
Barwell, who saw ex-linnet Owen Story move onto Bedworth during the week, had new signing, winger Jamie Towers in the starting eleven for his third spell with the Canaries having started the season with Kettering.
Lynn took the lead in the second minute, a Jordan Richards cross finding Michael Gash who scored with a powerful header.
Gash had two further chances to increase the lead, just failing to connect from a few yards out on 13 minutes and having a header cleared off the line by Brad Gascoigne eleven minutes later.
The home side also had chances with Alex Tomkinson first firing wide and then, a minute later, unable to control the ball and get his shot away.
Fahvan Davidson-Miller then headed just wide from a Towers\' cross.
A Frazer Blake-Tracy ball in then found Gash but his header went wide as Lynn pressured.
A break away saw Towers fire over following a block and then a moment of panic in the Lynn defence saw Davidson-Miller and Brady Hickey both have chances from close range that they failed to convert.
On 39 minutes Barwell did manage to find an equaliser, Davidson-Miller nodded home at the back post from Eliot Putman\'s cross.
Two minutes later Lynn were back in front. Adam Marriott was felled by \'keeper Liam Castle and put Lynn back in front from the resultant penalty.
The second half continued with end-to-end entertainment. Rory McAuley headed wide from the games\' first corner and Castle then pulled off a good save to deny Ryan Hawkins from close range.
A period of home pressure followed with Liam Canavan going closest as his shot from distance on the hour mark hit the post. The same player then curled a shot straight at Alex Street five minutes later.
Lynn responded and Craig Parker had an effort that hit the post and on 75 minutes a moment of magic saw Gash extend Lynn\'s lead. He picked up a ball from Ryan Jarvis and neatly turned his marker to score a fine individual goal.
Gash had a chance to complete his hat-trick soon after but headed wide from a corner. Chances came and went at both ends but Lynn claimed the points and moved up to sixth in the league.
Barwell: Castle, Percival, Desrosiers, Gascoigne (Hildreth h/t), Putman, Canavan, Morgan, Hickey, Davidson-Miller, Towers (Ebanks-Blake 71), Tomkinson (Rowe 80). Subs: Ebanks-Blake, Taylor, Rowe, Hildreth, Julien. Booked: Canavan, Castle Scorer: Davidson-Miller 39
Lynn: Street, Richards, Blake-Tracy, Jarvis, Fryatt, Parker, McAuley, Henderson, Gash, Marriott, Hawkins (Castellan 68). Subs: Limb, Bastock, Castellan, Frohawk. Scorer: Gash 2, 75 Marriott 41 pen
Attendance: 246