[2] In 1944, his sophomore MLB season, he was a reserve infielder for the 1944 Browns, the only St. Louis-based edition of that franchise to ever win an American League pennant.

Baker then appeared in games 5 and 6 of the 1944 World Series against its intercity rivals, the Cardinals, going hitless in two at bats and handling two chances without an error in relief of veteran second baseman Don Gutteridge.

He hit his lone big-league home run on May 4, a two-run blow struck off Washington's Sid Hudson on May 4 at Comiskey Park.

In 1961, the old Senators franchise's first season in Minneapolis–Saint Paul, he returned to uniform as the third base coach for the renamed Minnesota Twins, a position he held through 1964.

[4] In 1977, The Youngstown Vindicator reported: "Floyd Baker, who thrilled local Middle-Atlantic League fans with his classy fielding, still has his hand in the game.