The Wakes left their hosts no time to reply with goals in the 90th and 91st minutes at Raunds Town on Saturday afternoon.
Goals from supersubs Fernand Bass and Ben Easson secured Bourne a 2-0 victory that lifts them two places higher in the United Counties League Division One table.
Michael Feely played a crucial part in the opening goal, beating a couple of Raunds players with a mazy run before back-heeling to Bass who drove the ball home to the delight of the Wake’s bench.
Bourne boss Darren Munton said: “When I sent Fernand on I said to him ‘just get me the winner’ and he went out and did it.
“It was a cracking left foot shot.”
A minute later Easson sealed the points, tucking the ball into the bottom corner after Bourne had regained possession quickly after the restart.
The timing of Bourne’s goals was harsh on their hosts but Munton said: “I think we just about deserved it.
“Until then the game had 0-0 written all over it. Aaron Bellairs had pulled off a brilliant save at 0-0 when the shot looked a goal all the way but somehow he turned it around the post.”
He added: “It was a hard-working win in difficult conditions but the kind of result that breeds a bit of confidence. It was about time that we had a bit of luck.”
Munton was able to boast a bench with five substitutes available on Saturday, providing him with the new headache of who makes the starting XI on Saturday.
“Everyone was available and we were spoilt for choice,” said the Bourne boss.
“It gives us options and the lads who came on went on with the right attitude and got their rewards.”
All of Bourne’s wins have come away from the Abbey Lawn this season but there will be few better opportunities than this weekend to end their home duck when second-bottom Buckingham Town visit. Buckingham are still to take a point away from home this season.
Kick off at the Abbey Lawn is at 3pm.
Bourne: Aaron Bellairs, Kev Elgar, Tom Cardall, Dan Smith, Aaron Jesson, Lee Wood, Jimmy McDonnell (Andy Moss), Craig Rook (Fernand Bass), Johnny Currall, Mike Feely, Tom Caldicott (Ben Easson). Unused subs: Seb Hood, Alex Robinson.
Bourne Town Reserves lost 2-0 at home to Huntingdon Town Reserves in the Reserves Supplementary Cup.
The wakes reserves play Oadby Town Reserves away on Saturday.