Young (9-3) flummoxed Vanderbilt for six innings, striking out a career-high 12 batters. Wiel drove out the junior left-hander's 2-1 changeup just inside the left-field foul pole for his 15th homer of the season. Young left after Rhett Wiseman doubled with two outs in the eighth.
Pfeiffer (5-5) and Wright allowed five singles and walked four, but the Horned Frogs went 0 for 9 with runners in scoring position. Wright earned his fourth save.
It was the second straight narrow win for the Commodores. They came back from a 3-0 deficit on Monday to defeat Cal State Fullerton 4-3 on Jeren Kendall's walk-off home run, and they made the most of their three hits against Young, a second-round draft pick of the Arizona Diamondbacks, and Trey Teakell.
With Virginia's 1-0 win over Florida on Monday, this marks the first year since 1972 that there have been two 1-0 games in the CWS.
The first six innings weren't entirely smooth for Young. The Commodores loaded the bases in the third on a passed ball on a strikeout, a throwing error on Young and a walk. Young struck out Rhett Wiseman and Dansby Swanson to end the threat and begin a stretch of 11 straight batters retired before Wiel went deep.
TCU threatened in the seventh when Keaton Jones singled and took second on a throwing error. But Pfeifer got out of it, getting a flyout and strikeout before second baseman Tyler Campbell went into the outfield grass to pick up a grounder and throw out Cody Jones.
Dansby Swanson, the No. 1 overall draft pick by the Diamondbacks, continued to struggle at the plate for Vanderbilt. Last year's CWS Most Outstanding Player went 0 for 4, and he's hitless in eight at-bats with three strikeouts in two games in Omaha.
TCU and Vanderbilt were playing for the second time this season. The Frogs won the first meeting 4-2 at Dodger Stadium on March 7.