After applauding top dogs ’Lie onto the pitch pre-match, ’Gow went 1-0 down after just three minutes when Dale Simeon netted from close range.
It was 2-0 on 36 minutes when Gary Carroll turned the ball home.
But ’Gow kept battling and pulled a goal back on 64 minutes when ’Lie’s Mick MacNeil turned a cross into his own net.
’Gow camped in the visitors’ half late on but couldn’t find an equaliser.
Saturday’s result means that Lesmahagow end the season in 13th place with 33 points from their 30 matches.