Up just 10-7 in the fourth quarter, the Sooners stuffed UTEP on a fake punt to set up an 18-yard touchdown pass from Jones to Brannon Green and Williams sealed it late with his long run.
Nathan Jeffrey ran for 177 yards and returned a blocked punt 24 yards for a touchdown for UTEP.
NO. 5 OREGON 57, ARKANSAS ST. 34
EUGENE, Ore. (AP) — Marcus Mariota made his first start, passing for 200 yards and three touchdowns in Oregon's season-opening victory over Arkansas State.
De'Anthony Thomas caught two touchdowns and ran for another while collecting 119 yards in total offense as the Ducks built a 50-10 lead by halftime.
Kenjon Barner, taking over as starter after the departure of running back LaMichael James, ran for 66 yards and two scores.
The Ducks sat most of their starters after the break.
The loss spoiled coach Gus Malzahn's first game as coach of the Red Wolves, who went 10-3 last season and won the Sun Belt Conference title.
Arkansas State senior quarterback Ryan Aplin threw for 304 yards and three touchdowns, including a 72-yard scoring pass to Julian Jones just before the half.
No. 6 GEORGIA 45, BUFFALO 23
ATHENS, Ga. (AP) — Freshman Todd Gurley ran for three touchdowns, Aaron Murray threw three scoring passes and Georgia overcame a sloppy first half.
Gurley didn't start but may have emerged as the Bulldogs' future at tailback with his eight carries for 100 yards, including scoring runs of 10 and 55 yards. He added a 100-yard kickoff return for a touchdown in the first quarter.
Georgia, favored by 37½ points, led only 24-16 at halftime before pulling away in the season opener for both teams.
Branden Oliver, coming off his school-record 1,395 yards rushing in 2011, had 30 carries for 111 yards and a 2-yard touchdown run for the Bulls.
NO. 7 FLORIDA STATE 69, MURRAY STATE 3
TALLAHASSEE, Fla. (AP) — Lonnie Pryor, James Wilder Jr., and Debrale Smiley combined for seven rushing touchdowns to lead Florida State.
Pryor ran for three TDs, and Smiley and Wilder added two apiece. Wilder finished with 106 yards rushing.
Florida State scored on their first touch of the new season on Rashad Greene's 47-yard punt return just 89 seconds into the game.
EJ Manuel passed for 188 yards and a touchdown before retiring midway in the third quarter.
Murray State's Casey Brockman passed for 117 yards, but was intercepted once and sacked six times, including four by Bjoern Werner.
The Seminoles totaled 606 yards while holding Murray State, a Football Championship Subdivision school, to 156 yards
No. 10 ARKANSAS 49, JACKSONVILLE STATE 24
FAYETTEVILLE, Ark. (AP) — Tyler Wilson set the school record for yards passing in a season opener, finishing 19 of 27 passing for 367 yards and three touchdowns for Arkansas.
Two of Wilson's touchdowns went to tight end Chris Gragg, who finished with seven catches for 110 yards as the No. 10 Razorbacks (1-0) won their first game under coach John L. Smith.
Brandon Mitchell, the former backup quarterback turned starting receiver, joined in the fun with four catches for 122 yards and Javontee Herndon caught four passes for 96 yards.
The Gamecocks (0-1), coached by former Razorbacks coach Jack Crowe, led 14-7 in the first half. Marques Ivory had a pair of touchdown passes, while Alan Bonner had eight catches for 107 yards.
No. 11 WEST VIRGINIA 69, MARSHALL 34
MORGANTOWN, W.Va. (AP) — Geno Smith threw for 323 yards and four touchdowns to lead the Mountaineers past Marshall.
In the final scheduled game between the state's only Bowl Subdivision teams, it marked West Virginia's highest-scoring season opener in school history.
Smith kept the momentum going from his six-TD performance from the Orange Bowl.
The senior completed 32 of 36 passes and set a school record for career completions before sitting out most of the fourth quarter