Satterthwaite and Bernadine Bezuidenhout fell within 14 balls of each other, leaving Devine in a precarious position.
A brilliant century from Sophie Devine secured New Zealand a consolation victory in the third and final ODI at Grace Road, as England were outgunned in a low-scoring contest, after a five-wicket haul from the spinner Leigh Kasperek had derailed their ambitions of a clean sweep. England, who had already taken a winning 2-0 lead after the second match, took the series 2-1.
Devine was in excellent touch as she led New Zealand's reply, facing 117 balls and ending the match with a six off England quick Katherine Brunt as the visitors won with more than five overs to spare.
England won the toss and elected to bat and quickly piled on an opening stand of 104 runs and it was looking like New Zealand would have a big score to chase again.
Apart from staving off a clean sweep, New Zealand (12), who now occupy the top spot in the ICC Women's Championship table, also managed to snatch a two-point lead over Australia and England (10 each). Alongside her at the end of an intermittently anxious chase was the 17-year-old Amelia Kerr, whose mature 12 not out completed a memorable campaign that of course had earlier included a world-record 232 not out against Ireland. However, Katey Martin chipped in with a valuable run-a-ball 23 towards the end to put her side firmly in control, while also allowing Devine a hard-earned century off 101 deliveries. She now has 136 wickets in this format, one more than Jenny Gunn. Jones stuck around for a while before being stumped off Jess Watkin (2 for 38).