The Giants trailed by just eight points midway through the second term of Sunday's match, but 11 unanswered goals from the Crows killed off the contest.
Marinoff tallied a career-high 41 disposals to go with 12 clearances, 17 tackles, three goal assists and 412m gained in the 14.8 (92) to 4.4 (28) victory, while Danielle Ponter and Caitlin Gould kicked three goals apiece.
The result ensured Adelaide (6-2) finished the weekend in fourth spot with just three more rounds remaining.
It also marked a swift rebound from the Crows, who lost to Melbourne by two points on Wednesday.
The comfortable win over GWS boosted Adelaide's percentage from 160.6 to 183.7, allowing them to leapfrog Richmond (171.2 per cent) as the race for top-four berths heats up.
Danielle Ponter shone for the Crows with three goals. (Matt Turner/AAP PHOTOS)
Marinoff fell just two disposals short of Ally Anderson's AFLW record of 43, but for her it's all about team success.
"I don't really care about my stats. I was just pleased the crew was able to respond," Marinoff told Fox Sports after her career-high display.
"After a really disappointing Wednesday night against Melbourne, kicking 1.8, we were really embarrassed.
"I'm not a very good loser. I don't think I spoke to my mum on Wednesday night.
"So to respond here in Sydney is so pleasing; and nine individual goal scorers as well."
GWS will be sweating on the fitness of Kaitlyn Srhoj, who limped off with what appeared a right knee injury in the third quarter. Initial assessments suggest it was not an ACL injury.
Adelaide kicked the opening goal of the match inside 50 seconds, won the inside 50m count 12-2 in the first term and kept GWS scoreless, but their lead was just nine points at the break.
Randall from just inside 50 💥— AFL Women's (@aflwomens) #AFLWGiantsCrows pic.twitter.com/Fff4pFg21gOctober 13, 2024
The Crows, kicking against the breeze, cashed in on their dominance in the second term with five goals, including two late majors to Ponter.
GWS went inside 50m just four times for the term, but they at least kicked 2.1 from those rare opportunities to ensure the 26-point half-time deficit wasn't worse.
Three goals to nil from Adelaide in the third quarter crushed the Giants' hopes, and the Crows continued to pile on the goals in the fourth.
GWS kicked two goals in the final two minutes of the match to finally end Adelaide's 11-goal run.
