Rodrigues, Kaur, Mandhana and Sharma were also a part of the now-defunct Kia Super League (KSL) in 2019, the ECB's domestic T20 tournament that made way for the Women's Hundred.
The West Indies named an unchanged 13-man squad which played a 1-1 draw against Afghanistan early this month.
Windies name unchanged squad for first two ODIs vs India. The Caribbs, who are standing at the ninth spot in the ODI rankings, failed to gain any point from the drawn series against Afghanistan.