Sutherland (3-23) took a line-ball catch close to the ground that sparked a West Indies collapse just after the powerplay on Saturday.
The tourists lost 4-9 in the space of three overs and never looked a serious chance of clawing back from 6-47, especially after influential captain Hayley Matthews went early for 23 runs.
West Indies were all out in the 32nd over for the lowest total posted in an ODI at Junction Oval, undercutting the 129 England's women managed in February last year.
In concerning signs for Australia and the Women's Big Bash League's Sydney Sixers, allrounder Ash Gardner hurt her thumb fielding midway through the innings and was sent for scans.
Heather Graham replaced Gardner in the field, although AAP has been told the allrounder is a chance to return later in the match.
Rashada Williams (25 off 71 balls) top-scored with the bat to help stem the bleeding during the collapse, while quick Cherry-Ann Fraser (19) provided some late resistance.
After claiming the Twenty20 leg of West Indies' tour 2-1, Australia have the chance to seal the three-match ODI series 2-0 after rain cut short the second game earlier in the week.
Australia failed to contain explosive opener Matthews in the T20 series but after winning the toss, the hosts dismissed her cheaply to leave West Indies at 2-28.
Quick Kim Garth (2-14) trapped her lbw with a length ball in the eighth over just as Matthews was getting going.
Having scored a whopping 310 runs in the T20 clashes, Matthews has managed only a modest 43 in her two 50-over appearances, thwarted by Garth on both occasions.
Sutherland's catch in the 12th over sent West Indies into a tailspin.
Third umpire Claire Polosak ruled Stafanie Taylor (four) played the ball into the quick's right hand only centimetres from the ground as she followed through.
The on-field umpire did not award the wicket initially, nor was the Australian slips cordon particularly enthusiastic in joining Sutherland's appeal.
There was only one grainy camera angle of the catch available to Polosak but she nevertheless dismissed Taylor, who was in disbelief as she walked from the pitch.
Shemaine Campbelle (one) went in the next over despite West Indies' player review casting doubt as to whether spinner Alana King (2-20) hit the batter's pad or bat first.
Sutherland trapped Chinelle Henry (one) and Aaliyah Alleyne (four) lbw in the space of three balls in the 14th over to leave West Indies in deep trouble.
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