Taylor finished with 12 points and 11 rebounds for her third double-double of the season while Chubb added 14 and 10 off the bench for the Storm (4-1, 1-1 American Rivers), who snapped a six-game losing streak in Decorah.
Chubb posted career-bests in points and rebounds to lead a Simpson bench that outscored Luther 32-17.
Monday's game was a makeup from Saturday when Simpson's bus couldn't make the trip to Decorah due to dangerous winter road conditions.
For Simpson, it was worth the wait.
The Storm led from wire-to-wire but pulled away in a decisive second quarter, opening the period on 13-0 run for a commanding 38-20 lead. A jumper by Taylor got the run started and Madie Bacon knocked down four straight at the free throw line. A Chubb layup came between a pair of buckets from Janey Botkins as Simpson outscored Luther 22-11 in the quarter.
Sarah Holtz's three-point play with 3:28 left in the third brought Luther within 55-49, but Chubb answered with a 3-pointer and a Taylor free throw stretched the lead back to 10. Alaira Tyus nailed a 3 at the end of the third quarter to cap off a 13-4 Simpson run that put the game out of reach.
Holtz scored 18 points for the Norse (1-4, 0-1), who shot under 31 percent from the field.
Claire Johnson scored 11 points and Bacon added 10 off the bench for the Storm.
Simpson hosts Buena Vista on Wednesday, Dec. 5. Tipoff is set for 6 p.m. at Cowles Fieldhouse.