Ceci opened the scoring with just 44.8 seconds left to play in the first period when he skated hard into the zone on a 3-on-2 and took a pass from Tom Pyatt and backhanded it five-hole past Smith.
It was another late goal - with just 1:17 left in the second stanza - that put Ottawa up by a pair.
Just as a Senators powerplay expired, Brassard's wrister from the left faceoff circle beat a screened Smith low glove-side.
With Jaromir Jagr in the box for hooking, it was another No. 68 - Mike Hoffman - who scored with an absolute laser of a one-timer that beat Smith high, glove-side.
Stone added another powerplay marker by whacking in a rebound that had fallen in the crease before Dzingel made it 5-0.
Mike Smith stopped 17 of 22 shots he faced before being replaced by Eddie Lack after Ottawa's fifth goal.
Wideman rounded out the scoring with a shot from the top of the face-off circle that found the back of the net behind Lack, who finished with five saves on six shots.
ONE-TIMERS:Then Toronto Maple Leaf Matt Stajan made his NHL debut on April 5, 2003 against the Ottawa Senators and scored his first career goal … Speaking of first NHL goals against the Senators, Sam Bennett turned the same feat on Oct. 28, 2015 with his first regular-season tally … Sticking with this Ottawa angle, Jagr surpassed the 1,000-point plateau on Dec. 30, 2000 vs. the Sens.
NEXT UP: The Flames head to the Left Coast for a Saturday night tilt with the Vancouver Canucks (8 p.m., TV: Sportsnet; Radio: Sportsnet960 The FAN). The team will get a four-day break before hosting the Carolina Hurricanes at the Scotiabank Saddledome (7 p.m., TV: SportsnetFlames, Radio: Sportsnet960 The FAN).