It was the Swans' fourth straight victory and lifts their ledger to 5-3 for the season, while the Hawks were brave but still slipped to 6-2.
They managed to overcome a 26-point second term deficit to get in front for the first time late in the third quarter, but they couldn’t sustain their run.
While Franklin's goalkicking was askew, he was a constant threat throughout and finished with 21 possessions and 10 marks, although the ex-Hawk also gave away six free kicks. His tally of 2.7 (19) proved to be the eventual difference between the sides.
"We thought a month ago when we beat Fremantle that our pressure was back, and once we get that element of our game right, it helps us play the sort of footy we want to play.
"You've got to apply pressure to any team, but especially Hawthorn.
"If they get their uncontested game going, they're as good as any team in the competition at hitting targets."
There was plenty of intrigue pre-game about how a forward line of Franklin, Tippett, Adam Goodes and Sam Reid would function.
The resounding answer early on seemed to be extremely well.
Tippett started at full forward, with Franklin and Reid on the forward 50-metre arc and Goodes on the bench.
All of them were prominent early, with Reid drifting back into defence when the Hawks were in attack although, to be fair, those occasions were few and far between in the initial stages.
The Swans made a frantic start, overwhelming the Hawks with their pressure, putting 21 points on the board before the visitors had an inside 50.
Two goals to Tippett and another to Kieren Jack were just reward for a stunning opening, and Hawthorn was under all sorts of pressure for one of the few times this season.
The Hawks could barely get their hands on the ball, but still managed to kick two goals against a wasteful Swans outfit that should have led by significantly more than 18 points at the first change.
It was more of the same to start the second term, with the home side owning the ball but failing to make it count, McGlynn with the most glaring miss on the run from about 10 metres out.
It's always dangerous letting a good team think they're still in touch and that's what transpired, with the Hawks steadying the ship with the final three goals of the half to trail by just seven points.
The teams traded goals to start the second half, but consecutive majors to the visiting side had them in front for the first time 18 minutes into the third term.
Tippett then kicked his third in the dying seconds of the half as the Hawks took a three-point edge into the fourth quarter.
Franklin then stood up, with his two-goal cameo crucial as the Swans ran away with the victory.
"We were pretty ordinary tonight and Sydney were a lot more fanatical at the contest than what we were," he said.
"We were lucky to still be in the contest at quarter-time.
"Sydney were the better side on the night by far."