The 24-year-old followed up his haul of 5-36 in the first innings with 4-46 in the second dig, giving him match figures of 9-82.
The performances of Wyllie and Morris not only guaranteed victory for the Warriors, but also showcased the enviable depth of WA cricket.
Allrounder Aaron Hardie chipped in with 2-31 in NSW’s second innings, while Joel Paris bowled nine maidens on his way to the incredible return of 1-4 off 13 overs.
“I think the difference in the game were the partnerships late on day two,” stand-in WA skipper Sam Whiteman said.
“Joel Paris got 25 and Matt Kelly got 47, which helped Teague get his maiden first-class hundred, which was pretty special to watch.
“I’m sure it’s the first of many. Getting that 78-run lead was huge.”
NSW were bowled out for 180 on day one and they were a shambolic 5-66 in the second innings before Baxter Holt (54 off 78 balls) helped them add respectability to the scorecard.
Overall it was a disastrous week for NSW in Perth, which started with an embarrassing nine-wicket one-day loss to the Warriors.
The Blues were 6-20 in that match before being rolled for 76, with WA reaching the target in 17 overs.
“Really disappointing. I just thought our batting display today on what turned out to be a pretty good wicket was just flat-out not good enough to be honest,” NSW captain Kurtis Patterson said.