Waddell (10-3), who pitched a solid seven innings with no decision against TCU a week ago, was even better against the Commodores. He walked three and struck out five.
"He basically suffocated our offense for most of the night," Vandy coach Tim Corbin said.
The sophomore left-hander didn't allow a hit after Norwood's double until the ninth inning. He retired 12 in a row before he issued a walk with two outs in the ninth.
"I didn't know how long I'd be in the game," Waddell said. "I tried to keep going until they told me to stop."
Waddell didn't stop until he threw 115 pitches and Wiseman had grounded out to end the game. Teammates rushed out of the dugout to congratulate him for his first conventional complete game. He was credited with one for going six innings in a rain-shortened game against Monmouth in March, and it was the Virginia staff's third of the season.
"I felt good from the start," Waddell said. "I felt in the beginning I was trying to do too much, put too much behind the ball, spraying it here and there. I settled in later in the game. I put the pitches where I needed to."
Kenny Towns and John La Prise drove in two runs apiece, and the Cavaliers finished with 13 hits against Tyler Beede (8-8) and three relievers. Virginia has a total of 15 runs and 28 hits the last two games.
Through five innings, Beede looked sharp in limiting the Cavaliers to one run on three hits and two walks. The 14th overall draft pick by the San Francisco Giants had been struggling with his control and didn't make it out of the fourth inning in his previous CWS start against UC Irvine.
He left with two outs in the seventh after allowing six runs on 10 hits and three walks.
"Execution was a little poor the third and fourth times through the lineup," Beede said. "I was working with only two pitches, fastball and changeup. It was kind of 50-50. They were finding holes. They're a talented hitting team."
The Cavaliers will be playing for the Atlantic Coast Conference's first national title in baseball since Wake Forest in 1955. Vanderbilt will be going for the Southeastern Conference's fourth championship in six years.