Vogelsong (1-0) stifled the Cardinals on four hits, walking two and striking out for as the Giants forged a 1-1 tie in the National League Championship Series.
Marco Scutaro went 2-for-3 and broke the game open with a two-run single to cap a four-run fourth inning that broke the game open for the NL West champions.
Scutaro got the key hit after shaking off a hard hit from the Cardinals' Matt Holliday, who slid aggressively into the Giants infielder while trying to break up a first-inning double-play opportunity.
Ryan Theriot added a two-run single in the eighth and Angel Pagan homered as the Giants rebounded from a 6-4 loss in Sunday's Game 1.
Chris Carpenter (0-1) absorbed the loss, surrendering five runs -- only two of which were earned thanks to his own fourth-inning throwing error. The right-hander yielded six hits and walked two over four full innings.
Carpenter also drove in the only run for defending world champion St. Louis, which now returns home to host the next three NLCS games.