Anderson, who has 544 Test wickets, will have his eyes on equaling Ian Botham's record of 27 five-wicket hauls in the longest format.
Having scored 141 runs in the afternoon session to take the lead past 100, England continued to dominant after tea, with Bairstow reaching his half-century and Woakes following suit shortly after.
With Woakes, the first of England's three bowling all-rounders, at the crease alongside Bairstow, India could sense an opportunity to expose the tail.
That partnership helped England recover from a top-order collapse that saw them slump to 89 for four at lunch on the third day.More news: Sarri off the mark as Chelsea ease past Mooy's Huddersfield
The 29-year-old had already proved his worth with the ball by taking two for 19 on Friday, including the prize scalp of India captain Virat Kohli. "The 90s were a bit of a blur but I am so pleased to get there". By contrast, Saturday " s play started under sunny blue skies that promised to make life easier for the batsmen. He gets to 30 and is now the top-scorer in both the innings for India. yes, he has been India's best batsman in this Test and fair to assume that he will remain by the end of the Test.
But it was new-ball partner Mohammed Shami who struck first when, from around the wicket, he had Keaton Jennings, aiming across the line, lbw for 11.
Kohli failed to take the field while England batted on, reportedly because of a back strain, and his deputy Ajinkya Rahane replaced him at No 4.
But, on 28, Pope missed a straight delivery from Hardik Pandya and had to depart.More news: Former Real Madrid player, Ronaldo rushed to hospital
And to what became the last ball before lunch, England captain Joe Root was lbw for 19 to an off-cutter from Shami, who also had Jos Buttler (24) leg before in a stumps return of three for 74 in 19 overs.
Earlier, India chose to play with two spinners in Ravichandran Ashwin and Kuldeep Yadav, whereas Cheteshwar Pujara had a horrific return to Test cricket. But Bairstow, as he's often done before, held firm while attacking the loose ball.
But he demonstrated his range with a vertical-bat flick down to fine leg when Ashwin strayed in direction.More news: Authorities probe how airline employee could steal plane