In a day deeply affected by the weather, England cashed in on conditions and put India's batsmen to the sword. Bairstow was 62 not out and recalled all-rounder Woakes 55 not out.
Credit for the latter should at least partially be assigned to Woakes, he defended well, played strongly on the drive through the offside and looked more than a match for anything India had to offer - as if mild-mannerly showing the world that the nine first class centuries he has for Warwickshire were not acquired by accident. By contrast, Saturday " s play started under sunny blue skies that promised to make life easier for the batsmen. But England " s batting has often proved fallible recently.
In 17 Tests since Joe Root became captain, England have been dismissed for under 300 in their first innings seven times.
Anderson´s haul left England´s all-time leading Test wicket-taker just one shy of becoming the first bowler to take 100 Test wickets at Lord´s.
Mohammed Shami struck twice in the first session on Day 3 to leave England four down at Lunch.
Five balls later Jennings's fellow left-handed opener Alastair Cook (21) was out as well, caught behind off a superb Sharma delivery from around the wicket that squared him up and seamed away before finding the outside edge. He got off the mark with a four and looked composed throughout out his innings of 28 before he was LBW to Hardik Pandya (one for 16).
That brought debutant Ollie Pope to the crease and Surrey's talented 20-year-old showed no signs of nerves as he combined with Root to take the score to 77-2.
Jos Buttler (24) got in and got out before he too fell lbw aiming across the line as Shami took a third wicket this innings. He was fortunate to enter the fray with the ball no longer swinging as it had throughout the match and India's bowling attack - undoubtedly rueing the decision to pick two spinners - either tiring or ineffective.
Woakes, who reached his century off just 129 balls, is playing in place of Ben Stokes, who was forced to miss the second test as he stands trial in a court in Bristol charged with affray.