Garth finished with figures of 3-11 from her four overs, including an astonishing three maidens.
The result was the tonic the Stars needed after a gritty batting performance led by opener Elyse Villani.
Sutherland was supported by cameos from England international Maia Bouchier and Irish international Kim Garth who combined for an unbroken partnership of 51.
After winning the toss and electing to bat, a steady Villani made 52 off 63 deliveries and it was a supporting act from England’s Maia Bouchier (31) that helped push the Stars to 7-108 after wickets fell cheaply around them.
Enter the Kim Garth Show.
Opening the bowling, Garth removed Tahlia Wilson with her third ball and Phoebe Litchfield LBW with her fourth.
Annabel Sutherland took the wicket of the dangerous Smriti Mandhana for 3 and the Stars had the Thunder at 4-12 in the fifth over.
A fightback from Thunder batter Deepti Sharma (44) was not enough as spinner Sophie Day ended Anika Learoyd’s time at the crease on 21 to have the Thunder finish on 5-96 from their 20 overs.