Their tails up after a morale-boosting win in the opener, a confident Indian women team would look to seal the three-match series against world champions England.
Anya Shrubsole's 4/30 kept the BP XI to 155, which England chased in tense scenes.
India and England will play three ODIs, which is part of the ICC's Women's championship, and three T20Is.
Jemimah moved up nine places to a career-best sixth and Smriti jumped seven places to claim the 10th spot.
Bangladesh’s new-ball bowler Jahanara Alam has been named as the 12th player.
Australia cruised to an eight-wicket victory over England in the final of the ICC Women's World T20 in Antigua on Saturday.
Defending champions West Indies have set up a clash with Australia in the first semi-finals in Antigua on November 22.
South Africa were sent packing from the ICC Women’s World T20 following a seven-wicket loss to England.
India's Smriti Mandhana has been the talk of KIA Super League in England. She has been in red-hot form for Western Storm, scoring 416 runs in nine matches including a century and two half-centuries.
Lord's has approached Sachin Tendulkar, Ted Dexter, Ravi Shastri, and Anya Shrubsole respectively for the first four days.