But the Fishermen had to do it the hard way, coming from 2-1 down after taking an early 1-0 lead.
Striker Stevie Shennan was the man who broke the deadlock with a stunning strike, firing home from 15 yards out after cutting inside the penalty area.
Manager Carl Hudson had warned his players about Ormiston’s physicality and the need to defend well against set pieces.
It was disappointing then that they should fall behind to two goals in this manner.
The first was a long throw which was flicked on. The ball bounced back off the bar and one of their big front men was the quickest to react.
Then, just five minutes later, a flick on from a softly conceded corner let the visitors take the lead with a free header at the back post.
In the second half Eyemouth started a lot brighter and Nicky Clarke played some lovely balls for the front pair to run onto.
Mutch in the home goal had to remain alert, particularly at set pieces, but midfielder Mark Bolton swung the game their way with two superbly struck free kicks.
First of all he beat the goalkeeper with a curling effort from 25 yards out, and five minutes later he did it again, this time in the opposite corner, from a very similar position.
“The atmosphere in the dressing room is fantastic at the moment,” said Hudson. “We are exceeding all our expectations so far with the way we have been playing in the league, but we realise it’s a long season and there is still a lot of games to play, so we are not getting carried away.”
Eyemouth: Mutch, Jess, Walker, Brown, Spiers, Adamson, Bolton, Clarke, Wilson, Shennan, Phillips. Subs - Lough, Waddell, Aitchison, Wright.