England 141 (Crawley 43, Southee 4-55) and 216 for 5 (Root 77*, Stokes 54) need another 51 runs to beat New Zealand 132 (Potts 4-13, Anderson 4-66) and 285 (Mitchell 108, Blundell 96)
London: Joe Root and Ben Stokes gave England huge hope of a stunning victory on a gripping third day of the first Test against New Zealand at Lord's.
Chasing a challenging 277, England reached 216-5, needing another 61 runs. Though captain Stokes was out for 54, former skipper Root remains on 77, having added 57 with Ben Foakes.
The fifth-wicket pair dragged the home side from 69-4 and England would have been 76-5 had Colin de Grandhomme not overstepped in bowling Stokes when he had only one.
The Stokes-Root partnership added 90 and was only ended by Stokes trying a needless uppercut that gave impressive pace bowler Kyle Jamieson a fourth wicket.
England's turnaround began in the morning session, when they took three wickets in three balls to spark a New Zealand collapse of 6-34.
Daryl Mitchell completed a century, but after he was out for 108 and Tom Blundell for 96, the Black Caps were dismissed for 285.
Then came the ups and downs of the England chase, leaving the prospect of a grandstand conclusion on the fourth morning.
After England lost four wickets for 38 runs, it would have taken the most optimistic supporter to believe they would not lose inside three days, let alone end Saturday possessing such a chance of winning.
To have any hope of winning this match, England had to utilise the second new ball to restrict New Zealand's second innings, which began Saturday on 236-4.
Mitchell moved from 97 to 100 from the first ball he faced, only to edge Broad and become the first of the three wickets to fall in as many balls.
With Broad revving up the crowd, De Grandhomme was distracted by an lbw appeal and was run out by Pope's direct hit from fourth slip, then Jamieson was bowled off his pad.
After watching the chaos from the other end, Blundell got trapped leg before by one that James Anderson got to nip back.
When Tim Southee slashed to slip for Matt Parkinson's first Test wicket, England had taken the last six New Zealand wickets in the space of eight overs.