Saracens’ Lauren Cattell and flanker Harriet Millar-Mills of Lichfield crossed for England during a first half in which Scotland defended vigorously.
England eased clear after the break as Millar-Mills powered through from 25 metres out for a 20-0 lead.
A driving maul set up Sarah Hunter’s try and Lucy Demaine added the fifth.
For England and head coach Scott Bemand the target is to improve dramatically on last season’s fourth-place finish in the competition.
Failure to emerge from Broadwood without maximum points against a team seeking its first Six Nations win since 2010 would have been a major surprise.
But Scotland, now coached by former international lock Shade Munro, were fierce in the tackle in the opening quarter and almost made it to the half-hour mark before conceding.
England missed the conversion and Scotland were fortunate not to drop further behind when Bristol’s Amber Reed screwed a penalty wide from 25m.
Though Scotland seldom threatened the visitors’ defensive line, their bite in the tackle and willingness to scrap made it a decent contest.
But after 33 minutes the impressive Millar-Mills barrelled over the line, and number 10 Reed made sure of the conversion.
Thereafter Scotland had their best attacking spell in the match, with Lisa Martin’s eye-catching dummy and run through a gap in the white shirts offering hope to the home fans.
Soon after the restart Scotland hooker Lana Skeldon pulled a straightforward penalty wide of the posts and with it drifted her team’s best chance of getting on the scoresheet.
As Scotland’s defence tired, Millar-Mills breezed through to score her second try and Hunter made the most of England’s power in the driving maul for the fourth try. Both conversions were missed.