Jim Clancy (5-12) retired 16 of the first 17 Royals before Brad Wellman, Willie Wilson and Stillwell hit consecutive singles in the sixth for a 2-1 lead.
Singles by Mike Macfarlane, Brad Wellman and Stillwell produced the first run.
Brad Wellman, a reserve infielder, had the first four-hit game of his career.
With Kansas City trailing by 3-0 in the sixth, Brad Wellman, Willie Wilson and Kurt Stillwell hit consecutive singles, loading the bases.
Brad Wellman and Willie Wilson singled to start the seventh and moved up a base on a sacrifice.
At the start of the day, he, Mike Macfarlane and Brad Wellman did not have a homer among them in 209 times at bat.
And he threw one pitch to White, who hit a bouncer to short that forced Brad Wellman, a pinch-runner.
Brad Wellman walked leading off the Royals' third and Eisenreich singled him to third.
Brad Wellman drew a one-out walk off the Twins' starter Shane Rawley (5-9).
Brad Wellman singled with one out off Murphy (0-1) and moved to second when a pinch-hitter, Frank White, walked on four pitches.