Satterthwaite then struck, first removing Haynes on the drive before having Blackwell caught at point as she threatened to fire late in the innings.
She then claimed last year's star power-hitter Naomi Stalenberg, Rene Farrell and had Lauren Cheatle caught at mid-off to complete the hat-trick.
"It's one of those things that sometimes just go your way," a modest Satterthwaite said.
"You've just got to enjoy it when it happens because it doesn't happen all the time."
In reply, the Hurricanes remained in control as Erin Burns (38) and Englishwoman Heather Knight (34 not out) completed the bulk of the run-chase.
Hobart are now one point clear of the Melbourne Stars and Brisbane in fourth and fifth, while the Thunder are one point further back in sixth.
- AAP