The popular 36-year-old Wolves skipper had been out of Super League for more than three months with a ruptured bicep but he marked his return in style by scoring his first try for two years in the last minute of the match at the Etihad Stadium and was subsequently mobbed by his ecstatic team-mates.
"It shows the admiration our players have for our skipper," Smith said. "I thought about running on and jumping on him myself. He doesn't score many so when he gets one we all celebrate."
The game was effectively over as a contest by half-time when the Wolves led 30-6, with winger Chris Riley scoring two of their five tries.
Saints threatened a fightback when centre Jordan Turner scored his second try on 51 minutes and full-back Lance Hohaia also went over but Warrington finished in command, with second rower Trent Waterhouse scoring his second try to seal the win.
"I thought Saints had a real crack at us today." Smith said. "They tried really hard and, while the scoreline might not show it, a lot of our points were scored at the back end of each half. I thought the discipline from both teams was enormous."
Warrington had let slip a 16-6 lead against Hull a week earlier but Smith never felt worried, even when St Helens clawed their way back to 30-22 after an hour.
"We had a whole lot more energy than we had last week," he said.
Saints, without skipper Paul Wellens, as well as long-term casualties James Roby and Jonny Lomax, looked to be back to square one after their impressive win at Leeds but their second-half rally pleased coach Nathan Brown.
"We had some good stuff in the second half but the most disappointing thing was that we didn't make the game hard for them," Brown said. "In the first half our middle part of the field wasn't good at all and they obviously carved us up a bit on our right edge. When you play Warrington, you've got to physically be in the contest. Collectively we weren't quite good enough."
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