By Tony Leighton
Courtney Sweetman-Kirk and Chloe Kelly were on target as the Blue Girls convincingly collected their first points of their league season.
Striker Sweetman-Kirk opened the scoring in the 17th minute and Kelly hit the victory clincher from a penalty on the hour.
Andy Spence’s team were on top from start to finish and would have won by a wider margin with more precise play in the final third.
But after losing each of the first four league games on their return to the top flight, manager Spence and his players will settle for victory and a clean sheet against the Glovers.
Following last Sunday’s somewhat harsh 2-1 Continental Cup defeat by the holders and WSL champions Manchester City, Spence sent out a team showing three changes to the starting line-up.
Goalkeeper Lizzie Durack, defender Faye Bryson and Kelly replaced Kirstie Levell, Siri Worm and Chantelle Boye-Hlorkah.
Kelly was prominent in the early stages as the Blue Girls attacked down the left, the winger setting up Sweetman-Kirk for a goal-bound shot that was blocked.
When the opener arrived it came from the opposite side of the pitch, however, right back Bryson finding Sweetman-Kirk with a perfectly weighted through ball and the striker shooting home from just inside the penalty area.
Sweetman-Kirk should have doubled her tally in the 23rd minute, bursting through Yeovil’s back line but then sending her shot wide of the target as goalkeeper Megan Walsh advanced off her line.
That miss almost proved costly when Yeovil midfielder Paige Sawyer headed narrowly wide from a Chloe Lloyd cross.
But the visitors were having much the better of the game and went close to a second goal in the 34th minute, winger Claudia Walker seeing her 20-yard curling shot saved just inside the far post by Walsh.
The pressure was maintained either side of the interval, but Walsh did not have to make another stop until comfortably keeping out a 15-yard Angharad James shot in the 54th minute.
It took a penalty for the Blue Girls to put a more realistic look on the scoresheet. Sweetman-Kirk, racing on to a Walker pass, was brought down by defender Nicola Cousins and Kelly coolly slotted the spot-kick into the bottom corner.
As the home side tried to force their way back into the game midfielder Chloe Lloyd had a 30-yard free-kick saved under the bar by Durack.
But Yeovil never truly threatened to salvage anything from the game and almost conceded a third goal when Walker shot just wide in the closing minutes.
Yeovil (3-4-2-1): Walsh; Jackson (Burridge 57), Cousins, Evans; Curson, Lloyd, Evans, Lawrence; Sawyer (Melton 61), Jones; Pusey (Aldridge 79).
Unused substitutes: Howard, Lambe, Hignett.
Everton (4-2-3-1): Durack; Bryson, Brougham, George, Turner; James, Finnigan; Walker, Magill (Munsterman 86), Kelly (Brett 84); Sweetman-Kirk (Chance 65).
Unused substitutes: Levell, Worm, Boye-Hlorkah.