Smith Valley, IndianaSmith Valley is an unincorporated community in White River Township, Johnson County, Indiana.HistorySmith Valley was named for William K. Smith, a pioneer settler. A post office was established at Smith Valley in 1870, and remained in operation until it was discontinued in 1902.Notable peopleJohn J. Carson, member of the Federal Trade Commission from 1948 to 1953; born in Smith Valley.