Cork showed the advantage of having already played a game in the Camogie League as they came on strong in the second half to carve out a 0-9 to 0-5 win over Kilkenny in The Mardyke.
The defending champions were having their first outing of the season and it showed, with Cork far stronger.
Also in Group 2, Dublin continued the Shane O'Brien era with a magnificent win over last year's League finalists Clare in Clonlara by 1-13 to 1-11.
The Dubs opened their campaign with a home win over Derry but this was a significant step up on that, thanks to the excellence of Ali Twomey, Louise O'Hara, Alison Maguire and goalkeeper, Síle Nic Coitir.
In Group 1, goals from Áine Leacy and Jackie Quigley gave Wexford a hard-earned 2-4 to 1-8 win over Offaly. Offaly will rue a missed early penalty, when Siobhan Flannery's shot was saved by Laura Brennan.
Flannery did finish with seven points but it was the goals from Leacy, in the first half, and most essentially, from Quigley six minutes from time, that snatched it for the youthful Model County women.
Limerick continued their good start with a 1-14 to 1-7 win over Tipperary. The Mulcahy sisters, Niamh and Judith shone for the Shannonsiders with the former hitting 10 points in blustery conditions.
Niamh Ryan got an early goal for Limerick and Tipperary never could claw their opponents back. It might have been worse but for Orla McEniry saving a 15thminute penalty.
Tipp did improve in the second half but the goal from substitute Megan Ryan came too late to make any impact on the result.