Morgan can be a hard taskmaster, and proved the point with a critique of England despite victories in eight of their last nine ODI series and their run to the semi-finals of last year's Champions Trophy.
Stokes's dismissal left England at 139 for four in the 29th over with Joe Root not out 61.
He was ruled out of England series after the incident due to the ongoing legal process but was recalled in February after he entered a not guilty plea when he appeared in court on February 13.
Mitchell Santner also provide a good supporting role.
Mitchell Santner's 45 not out from 27 balls got the Black Caps over the line with four balls to spare after Ben Stokes (2-43), in his first England appearance since he was arrested in Bristol last September, dismissed Latham (79) and Colin de Grandhomme in quick succession to give the tourists the advantage.
New Zealand had used the wrist spinner Sodhi and finger spinner Santner effectively to contain the England batsman through the middle of the innings but Buttler took some toll on their figures.
Taylor and Latham showed all their experience though and gradually built their partnership to not only bring New Zealand back into the game but put them in the ascendency.
"I think he's fantastic".
The captain was able to report too that Stokes himself was in his element back on the worldwide stage. "We put on a really competitive score and made good inroads at the start, but they fought back really well".
"We've got to be opening to learning and improving on those weaknesses as we go along. Taking it towards the end we just didn't have enough in the tank". "England came out and posted a tough total".
The allrounder made a return to the global side after he was suspended following an incident in Bristol last September which led to him being charged with affray. "I think the partnership with Tom was outstanding as was (Santner) and the way he finished it off was the difference".
Stokes is nonetheless nearly certainly about to play his first worldwide match since September 24 - with opener Alex Hales highly likely to be the man who steps aside to achieve the balance Morgan wants in his 50-over team.
It is likely to be with the bat that Stokes will be needed first after New Zealand won the toss and followed the trend in Hamilton of wanting to chase - dew can be a factor in the evening.
Englands Jos Buttler plays a shot during a One Day International cricket match against New Zealand in Hamilton, New Zealand, Sunday, Feb. 25, 2018. Stokes tried to hit it with a slog sweep as the ball jumped up and got a leading edge.
The brutal Buttler dished out more treatment to Sodhi, hitting him for three consecutive sixes, and added another two maximums late in the innings after Colin Munro bowled Root, while Moeen Ali added a brisk 28.