The final scoreline was hardly a reflection on their dominance but it took an early fright from Kane Hemmings, who slipped an ninth-minute shot under Scott Fox, to get them into gear.
After laying siege to the Cowdenbeath goal, Steven Craig eventually brought Partick reward when he netted the equaliser after his initial shot was blocked.
The influential Ross Forbes was kept out by Thomas Flynn and then, when he beat the goalkeeper with a free-kick, was unfortunate to see his effort come back off the post.
Lewis Coult missed an opportunity at the other end and Partick heeded the warning, Conrad Balatoni putting them ahead shortly before the break with an unstoppable left-foot shot.
Balatoni headed against the crossbar in the second half as Partick sought to make life more comfortable for themselves but their first-half endeavours proved sufficient.
Livingston continue to threaten to enter the mix and their 1-0 win over Dunfermline Athletic at East End Park kept them 15 points short of the summit but with three games in hand on Morton. Tony Andreu scored the only goal midway through the second half after a cutback from Marc McNulty.
When Dunfermline did threaten – most notably through Josh Falkingham and Joe Cardle – Andy McNeil proved a more than able last line of defence.
Falkirk had to hang on for a 4-3 win over Airdrie United after looking commanding early on.
Lyle Taylor scored twice and Stewart Murdoch netted from distance to put them 3-0 up at half-time. Paul Di Giacomo's penalty, after Darren Dods had fouled Willie McLaren, gave Airdrie brief hope before Dods headed the home side 4-1 up. But McLaren, from a free-kick, and John Boyle scored in the last three minutes for Airdrie to ensure an uncomfortable finish for Steven Pressley's young side.
In-form Dumbarton made it five wins out of six as they saw off Hamilton Academical 3-1 to finally move off the bottom of the table.
Ian Murray's side were out of the traps quickly and it was no surprise when Chris Turner headed home the opener for Dumbarton.
Gilhaney doubled their advantage with a curling shot shortly after the break but goalkeeper Jamie Ewings gave Hamilton hope with a clearance straight to Stevie May, who promptly planted the ball behind him.
The points were assured when Gilhaney's late effort was turned into his own net by Jonathan Page.
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