Set a target of 232 to win England women collapsed from 117 for two in 30.1 overs to be bowled out for 213 in 48 overs.
Openers Atkins (54, 99 balls, 5x4) and Newton (21, 33 balls, 3x4) gave a good while. S J Taylor (26) and Edwards (33) consolidated the position before the visitors lost their way.
India pocketed four points the win.
Put into bat, Indian eves got off to a great start before they floundered the advantage and were restricted to a moderate score of 231.
Woman-of-the-match K V Jain (77, 119 balls, 5x4) and J Sharma (61, 91 balls, 4x4, 1x6) added 121 for the opening wicket in 30 overs to put the innings on a firm footing.
Jain added a further 58 runs in 10.1 overs with skipper Mithali Raj (35, 47 balls, 3x4) before the home team lost wickets in the final ten overs.
For England I T Guha bagged two wickets, while B L Morgan and L K Newton claimed one wicket each.
India eves 229 for 6 in 50 overs (Karuna Jain 77, Jaya Sharma 61, Mithali Raj 35, Hemlata Kala 20; Isha Guha 2 for 49, Morgan 1 for 40, Newton 1 for 53) beat England 213 all out in 48 overs (Atkins 54, Clare Edwards 33, S J Taylor 26, L A Marsh 23 n o; Jhulan Goswami 2 for 25, Anju Sharma 2 for 36, Nausheen al Khadeer 1 for 51, Priti Dimri 1 for 39) by 16 runs