Verma struck 57 off 50 balls with six hits to the fence in Sixers' successful run chase against Hurricane, who made 125 for nine.
But other Indian cricketers, Smriti Mandhana and Deepti Sharma were off-colour for Sydney Thunder.
Indian veteran Raj held the women's record with an unbeaten 114 against Ireland in 1999 at the age of 16 years and 205 days.
India thus ended their Australia tour heartbroken, having already lost the three-match ODI series 1-2 before drawing the rain-marred lone historic day/night Test.
India lost to Australia by four wickets in the second women's T20 International in Gold Coast on Saturday, after the batters struggled and could manage only 118 for nine.
India women failed to defend 118/9 as Australia women reached the target with five balls to spare.
Australia women vs India women T20 series can be seen live on TV as well as on digital devices. Check match and telecast details of 2nd T20 match here.
India, who came into the game with only two practice sessions with pink-ball, outplayed the Australians in all departments. It was the first time in 15 years that two teams played a Test.
Clare Connor's nomination was announced by her predecessor and Sri Lankan legend Kumar Sangakkara at the Annual General Meeting last year.
India were 276 for five in 101.5 overs when lightning forced the players indoors some time after the dinner break, meaning more than a session's play was wasted due to inclement weather.
India and Australia women teams renew Test rivalry after 15 years with landmark Day-Night match. Check match and telecast details.
India and Australia last played a Test in 2006 with only Mithali Raj and Jhulan Goswami featuring in that game among the current players on both sides.
With the 14-day quarantine upon arrival in Australia and ODI series to follow, the team has got very little time to prepare for the Test, beginning on Thursday.
South Africa's Lizelle Lee (761) grabbed the top spot after gaining one place. Australia's Alyssa Healy is at second spot with 750 points.
A marginal no-ball call off the final delivery bowled by Jhulan Goswami found India on the wrong side of the result in the second match. Australia lead 2-0.
Australia women beat India women by five wickets in a thriller to take 2-0 lead in the three-match ODI series. Catch highlights here
'MCC believes that the use of gender-neutral terminology helps reinforce cricket’s status as an inclusive game for all,' MCC, the custodians of the game, said in a statement.
South Africa opener Lizelle Lee, who had caught up with Mithali last week to share the mantle at the top, has slipped by a position at number 2.
Fishermen fishing from Kumari dam as it overflowing following heavy rain in Kanyakumari district.PTI Photo
Union External Affairs Minister S Jaishankar is greeted by the officials on his arrival in Israel.PTI Photo
Commuters wade through amid heavy rain in Gurugram.PTI Photo
People play instruments during Kullu Dussehra, in Kullu.PTI Photo
BJP Yuva Morcha workers protest against the alleged attack on the ISKCON temple at Bangladesh, in front of Vivekananda House in Kolkata.PTI Photo
The Opposition is hoping for a rich election harvest in Uttar Pradesh but Lucknow appears to be a long way from the killing fields.
The former Delhi Police employee has also emerged as the go-to man for the authorities to reach out to the agitating farmers.
Outwardly peaceful, Kashmir has seen a spate of civilian killings in recent weeks. A silent unease has now exploded into fear and concern after the shooting of minorities.
Virat Kohli will step down as T20 captain of India and RCB but that will not take away the fact that he remains a unique leader
With all foreign soldiers out of Afghanistan, the Taliban is now in a position to do pretty much what it wants.
It can be a crucial stepping stone to develop young minds to appreciate the importance of practising honesty throughout their academic journey and lay the foundations for successful professional careers.
One can be pro-religion, but against coerced religion; one can be pro-vaccines, but against coercion and mandates