But from two for 39, Latham and Taylor put on 116 for the third wicket when Taylor went for 53 to have New Zealand three for 155.
Woakes was recalled at Seddon Park in favour of slow left-armer Jack Leach as England decided against selecting a frontline spinner.
YORKSHIRE'S Joe Root resolved to bat through the entire third day of the second Test against New Zealand as the England captain temporarily silenced his detractors with a resolute century at Hamilton. He said at Mount Maunganui that he'd never gone through a day without taking a wicket, but he's still so new to this level of cricket.
"I enjoyed the fact that I got the hundred, at the same time I am disappointed that I could not stretch that and Rooty and I could not stretch our society and deepen the game".
Mitchell, 28, also felt at home batting with Watling, a player he regards as a "pretty special human".
Indeed, Broad tipped Burns as the key batsman despite the opener being dropped twice on Saturday night.
"If a batsman really applies himself on these pitches and doesn't play loose shots and wants to just score in their area, they can be a real handful", Broad said.
Ask a county cricket fan who is among the most promising batsmen in the country and the chances are Pope will top the list. "For Rooty to get those runs, he'll be feeling very good but he also knows that there's more runs to be had and there's another partnership to get into and can we extend this and can we stretch the game in our favour".
They still need 107 to go through the first innings of New Zealand, and with more rain forecast for the coming days and a flat tone that shows few signs of deterioration, will England have too little time?
England's march towards New Zealand's total was given a minute helping hand when Kumar Dharmasena signalled for a no-ball off Daryl Mitchell.
Ben Stokes came and went for 26 as Southee produced a flawless delivery to have him edging to Ross Taylor at slip, and Zak Crawley's test debut lasted six balls as Neil Wagner lured him into an edge to BJ Watling.
Mitchell, who scored 73 on debut, said New Zealand's mindset was not to play for a draw.
"Steve Smith was causing us all sorts of problems". It came to a slightly disappointing end but I thought I played quite well'. "Hopefully we can get that right".
Broad said he had a ton of respect for the likes of Tim Southee, Neil Wagner and the injured Trent Boult.
But Stuart Broad, his vastly experienced colleague, urged him to reflect on what he has already achieved in his global career and look forward to the prospect of more helpful surfaces in South Africa, where England play their next Test series.
"You have to try and mix it up a bit.it's not a traditional three slips and a gully place to bowl".