Bowers tallied 26 disposals, 12 tackles and a goal to give her side a chance of pulling off an upset win on Sunday.
The Dockers had two opportunities early in the final quarter to snatch the lead, but their misses proved costly as Melbourne kicked the last four goals of the match to secure the 10.6 (66) to 5.6 (36) win.
Demons forward Kate Hore was crucial in the victory with three goals, two of which came in the last term when Melbourne made the most of a strong breeze.
Former Docker Sabreena Duffy kicked two goals, including a spectacular banana from the pocket late in the match.
Demons midfielder Olivia Purcell finished with 26 disposals and a goal, while Tyla Hanks racked up 21 disposals.
The win ensured Melbourne (5-1) stayed equal top of the ladder alongside the Brisbane Lions, Adelaide and Collingwood.
Fremantle's finals hopes are now all but over after posting just a win and a draw from the opening six rounds.
Demons star Tayla Harris booted the opening goal of the match and then produced a mark-of-the-year contender when she jumped over two players to take a superb floating grab in defence.
Melbourne captain Daisy Pearce kicked a goal and set up another in the first half.
But it was Bowers who was the dominant player on the field, tallying 18 disposals, four clearances, eight tackles, five inside 50s and a goal by the long break.
Hore booted her first goal of the match in the opening 17 seconds of the third quarter to make it an 18-point margin.
But majors to Amy Franklin and Hayley Miller cut the gap to just five points at three-quarter time.
Gabby O'Sullivan had the chance to put Fremantle ahead when she received a 50m penalty early in the final period.
But her kick against the strong breeze was wayward, and Melbourne made full advantage by slamming through the next four goals.
25°C