After failing to reach double figures in four innings during the T20 series, this was an impressive return to form for Jones. And it came with England in a big hole.
The visitors would have been confident at the start of the chase. But they lost Tammy Beaumont, bowled by a Jess Kerr full toss just below waist height, without a run on the board.
While England recovered from that early blow, losing five wickets in eight overs, including three for just four runs, left them on the verge of disaster.
Maia Bouchier was bowled by the fiery Lea Tahuhu, Alice Capsey was plumb lbw after missing a reverse sweep and Nat Sciver-Brunt was run out trying to sneak in a second run from a misfield.
All the hallmarks of an England collapse were there, and New Zealand felt that one more wicket would bring the match to a swift conclusion.
But as Jones went to work, the wicket never arrived. While she and Dean were happy to tick over with ones and fours, Jones was also able to put the pressure back on the Kiwi bowlers with a series of audacious shots over the top.
New Zealand continued to push for a breakthrough until the last over, but the England pair were growing increasingly comfortable and offering little in the way of encouragement.
With the required runs ticking away, Jones hit a series of eye-catching boundaries before it was left to Dean to seal victory with a boundary of her own.