In their second match of the day, Hawke's Bay needed a tie breaker inning to beat Upper South Island 2-1.
McClutchie scored on a pass ball in the top of the tie breaker before the Bay shut out the mainlanders in the bottom of the inning.
Upper South Island led 1-0 after the first inning and Hawke's Bay equalised in the third when Mataira got on base with a walk and was hit home by McClutchie.
Woon started his bench players against Tairawhiti and they struggled for the first couple of innings which allowed Tairawhiti to establish a 3-1 lead.
"Our neighbours Tairawhiti played with a lot of heart and our boys made a few errors before scoring three runs in the fourth, five in the fifth and one in the sixth which ended the game," Bay manager Lisa Ferguson explained.
Wellington pick up player Brayden Hampton started on the mound against Tairawhiti and was replaced by Ihaka Tangaroa in the fouth inning.
A son of Black Sox pitching legend Chubb Tangaroa, Ihaka, conceded no runs during his three innings on the mound and was also economical in the first win of the day.
Woon's son and 2016 Junior Black Sox pitcher Adam Woon replaced Tangaroa in the fifth inning of the Auckland B game and pitched the entire game against Upper South Island.
Hawke's Bay play the tournament's other unbeaten side, Auckland, this morning and the winner will have two lives in their quest to reach tomorrow's final.
"Auckland have a very good batting lineup but if our boys play like they did against Wellington on day one they will have a good chance of winning," Ferguson said.
The New Zealand White Sox women, who are coached by Hawke's Bay's Kevin Gettins, and include the Bay's pitcher-catcher combination of Rita Hokianga and Melanie Gettins, remain winless after losing 8-3 to North Harbour and 9-6 to Southland.
While the White Sox batting improved they are still conceding too many runs.
They are playing in the tournament with the aim of becoming more familiar with a faster style of game as prepare for the 2018 World Championship in Japan which will be a key tournament in the qualification process for the 2020 Olympics in Tokyo.