The Hornets (6-4, 5-2 Mid-Eastern Athletic Conference), who have won five of their last six games, led 21-19 early in the fourth quarter.
Elko completed an 83-yard scoring pass to Tarpley to extend the lead, then Dae-Hon Cheung's 6-yard score made it 35-19 with 4:01 remaining.
On the ensuing kickoff, Antwon Chisholm scampered 59 yards, and Travis Champion threw his third TD pass of the day, a 30-yarder to Rashad Riddick, on the next play. After Hampton made the two-point conversion, Delaware State ran out the clock.
Tarpley, whose other TD was a 48-yarder, had five receptions for 171 yards and Nagee Jackson added scoring runs of 1 and 2 yards.
Jeremiah Schwartz rushed 136 yards for the Pirates (2-7, 2-5).
Jimbo Fisher knew 2015 would be a transitional year for FSU without Jameis Winston, but the Noles finished by playing their best down the stretch.
A roundup of players who deserved more attention for their solid play on the final full weekend of Big 12 play.
The firing of offensive coordinator John Donovan was evidence that James Franklin knew he couldn't all his program's problems on sanctions.
Uni Watch 2015 Holiday Gift Guide: What to get the sports fan who doesn't need another cap or jersey
In this year's Uni Watch Holiday Gift Guide, Paul Lukas provides some cool sports-themed gift ideas for the rabid fan in your life -- from books to bottle openers to drinking straws.
Much like Oklahoma, North Carolina is 11-1 with a bad loss on its record. Yet the Sooners are playoff bound while the Tar Heels are still ranked in the teens. Heather Dinich and Sharon Katz explain why its time to give North Carolina more respect.
Heather Dinich explains why Alabama is getting too much credit for beating a weak SEC schedule.
|North Carolina A&T||7-1||9-2|
|North Carolina Central||7-1||8-3|
|South Carolina State||6-2||7-4|