The 4-2 win means Weston have completed the double over the Romans this season - the first time that has been done.
The Seagulls had been knocked out of the FA Trophy at lower division Workington recently before losing at Wealdstone in the League.
But Tuesday night’s victory signified a big step forward for Weston and assistant manager Rob Boyd says the club are in a good position.
“We’re very proud of the fact that we’re the first Weston team to take six points from Bath,” he told the club’s Facebook page.
“The play-offs are still looking good. We’ve still got a game in hand and we need to win that if we want to push forward.
“We’re getting closer now. The play-offs are what we’re aiming for and we’ll keep going until we get there.
“Some people will say we got a lucky fourth goal that killed the game but we worked hard for it and I think we won the game in the first half.”
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