Dominic Knowles scored the only goal of the game late on as United beat the Saints last month, the club’s only win against Brackley at York Street.
Now Boston head to Northamptonshire on Saturday (KO 3pm) looking to be only the second side to win at St James’ Park in the National League North so far this season.
“Brackley are a good team. Against us they were fantastic and we go out of jail slightly,” Elliott said.
“But we’ve got the confidence from that game.
“They’ll be a good team, but every game is a tough one. We’ve just got to keep turning up and trying to win.”
While Brackley remain among the favourites to make the play-offs this season, they have hit something of a slump since their defeat in Lincolnshire.
They have failed to find the net in their past four games, away at Boston and Spennymoor Town and at home against Guiseley and Farsley Celtic.
Despite playing out goalless draws against the Moors and Lions, that 1-0 defeat to Farsley is their only home reverse of the campaign so far.