Smith now has 1,018 yards rushing this season and he also became the 10th player in FBS history to top 4,000 rushing yards and 1,000 receiving yards in a career.
The win makes the Golden Eagles (6-4, 4-2 Conference USA) bowl eligible for a third straight season.
But Rice (1-9, 1-5) continually fought back behind Nashon Ellerbe, who had 153 yards and four touchdowns on 22 carries.
Twice Ellerbe had the Owls within two points on TD runs of 17 and 1 yards, but Southern Miss answered with Griggs' 47-yard TD strike to Robertson and Smith's 18-yard TD run with 2:55 to play preserving the win.
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Way back in the spring, Oklahoma started preparing, a little at a time, for Army's triple-option offensive attack.
Although the setting will be different, the scene is familiar to Alabama and Nick Saban.
No. 19 Michigan and Nebraska seem to have a lot of similarities going into their Big 10 opener Saturday.
Although in just his second full season, Indiana University coach Tom Allen knows the program history.
A new culture has taken hold in the BYU football program.
No. 23 Boston College and Purdue are both chasing recent history when they meet in a non-conference game in West Lafayette, Indiana, Saturday.