Brazier's 60-metre dash in extra time to complete a 17-12 win over the Rio Olympics champions Australia had silenced a boisterous local crowd at Robina Stadium on Sunday, so they switched their support to Fiji for the men's decider.
England held the lead for most of the first half, before the Kiwis snatched a last-gasp try at the break to leapfrog to the front.Regan Ware had a double midway through the second half for New Zealand, as they began to take control of the match.
"I was nervous going into it, but I'm definitely looking forward to relaxing now", she said.
Cape Town - South Africa have taken a significant step towards Commonwealth Games gold by beating Scotland in their final pool match on Saturday.
"We're devastated. you can't fault the effort we put in but we don't like losing", Walsh said.
Kiwi test Against one of the favourites for this competition, England went down early on to the Black Ferns when Sarah Goss broke the line.
We will be in Fiji's faces all day and try to force them to play to our structure.
"We watched the women go into overtime and their win at the end really inspired us to get the double", said Tim Mikkelson, who was also part of the New Zealand squad that won gold in New Delhi in 2010.
Charlotte Caslick, one of Australia's best at these games, didn't come back on in the second half after a head knock.
New Zealand bookended half-time with another try to kick off the second half and then Shakira Baker finished a coast-to-coast effort to stretch the margin to 14 points, before a final Portia Woodman try sealed the result.
Australia had already lost co-captain Sharni Williams, who was ruled out before the semifinals with an injured left ankle.
An increasingly frustrated Fiji couldn't find their rhythm in a scoreless second half, a rarity for two teams so skilled at running the ball.
Both teams set up semi-finals against England, played earlier today, with the women winning 26-5 and the men 17-12, setting up Finals against Olympic champions Australia and Fiji.