The picturesque IIT Chemplast ground, witnessed some sparkling cricket as the Kiwis chasing a stiff target of 260 in 50 overs, romped home (261), losing just four wickets in 45 overs.
Rebecca, who is also New Zealand's wicket-keeper compiled her century with the help of 18 fours and a six, batting at no four. At the other end, Sarah J Suki, batting at no six gave Rebecca good company, scoring an unbeaten 42 off 47 balls, studded with five fours.
The two added 108 runs off 99 balls in an unbroken stand for the fifth wicket to help New Zealand gain the full four points, as the Aussie bowlers, medium pacers Catheryn Fitzpatrick (1-48), Emma Sampson (1-48), Kristen Pike (1-53) and left-arm spinner Shelley Nitscke (1-35) struggled to break the stand.
Earlier, winning the toss, the Aussies batted first to make 260 in the stipulated 50 overs, with no four batswoman Lisa Sthalakar emerging the top scorer with 65 off 76 balls. She hit 11 fours.
No two batswoman Alex Blackwell (25, 38 balls, five fours), left hander Shelley Nitschke (33, 40 balls, six fours) and Cathryn Fitzpatrick (33, 26 balls, two fours, two sixes) also chipped in.
Shelly and Lisa put on 82 runs for the fifth wicket in 14.5 overs.
For New Zealand, medium pacer Helen Watson was the most successful bowler, claiming 3 for 30.
Australia 260 in 50 overs (Lisa Sthalakar 65, Shelley Nitschke 33, Jody Purvez 33, Cathryn Fitzpatrick 33; Helen Watson 3 for 30) lost to New Zealand 261 for 4 in 45 overs (Rebecca Rolls 104 n o, Sarah Tsukigawa 42 n o) by 6 wickets.